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2540244432 = 243116771807
BaseRepresentation
bin1001011101101001…
…0000110111010000
320120000220210021010
42113122100313100
520200300310212
61100022130520
7116643502305
oct22732206720
96500823233
102540244432
1110939a1270
125aa880a40
1331638031b
141a15290ac
15ed02a03c
hex97690dd0

2540244432 has 80 divisors (see below), whose sum is σ = 7265820672. Its totient is φ = 758271360.

The previous prime is 2540244409. The next prime is 2540244433. The reversal of 2540244432 is 2344420452.

It is a self number, because there is not a number n which added to its sum of digits gives 2540244432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540244433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 528 + ... + 71279.

Almost surely, 22540244432 is an apocalyptic number.

2540244432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540244432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3632910336).

2540244432 is an abundant number, since it is smaller than the sum of its proper divisors (4725576240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2540244432 is a wasteful number, since it uses less digits than its factorization.

2540244432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71896 (or 71890 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 2540244432 is about 50400.8376120874. The cubic root of 2540244432 is about 1364.4527554477.

Adding to 2540244432 its reverse (2344420452), we get a palindrome (4884664884).

The spelling of 2540244432 in words is "two billion, five hundred forty million, two hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 132 134 176 201 264 268 402 528 536 737 804 1072 1474 1608 2211 2948 3216 4422 5896 8844 11792 17688 35376 71807 143614 215421 287228 430842 574456 789877 861684 1148912 1579754 1723368 2369631 3159508 3446736 4739262 4811069 6319016 9478524 9622138 12638032 14433207 18957048 19244276 28866414 37914096 38488552 52921759 57732828 76977104 105843518 115465656 158765277 211687036 230931312 317530554 423374072 635061108 846748144 1270122216 2540244432