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2041054400 = 265271116567
BaseRepresentation
bin111100110101000…
…0000010011000000
312021020121022021102
41321222000103000
513140002220100
6534310513532
7101402450630
oct17152002300
95236538242
102041054400
11958138420
1248b6658a8
13266b1cac8
141551046c0
15be2c1cd5
hex79a804c0

2041054400 has 168 divisors, whose sum is σ = 6261908736. Its totient is φ = 636134400.

The previous prime is 2041054399. The next prime is 2041054403. The reversal of 2041054400 is 44501402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2041054403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114917 + ... + 131483.

Almost surely, 22041054400 is an apocalyptic number.

2041054400 is a gapful number since it is divisible by the number (20) 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 2041054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130954368).

2041054400 is an abundant number, since it is smaller than the sum of its proper divisors (4220854336).

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

2041054400 is a wasteful number, since it uses less digits than its factorization.

2041054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607 (or 16592 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2041054400 is about 45178.0300588682. The cubic root of 2041054400 is about 1268.4836097760.

Adding to 2041054400 its reverse (44501402), we get a palindrome (2085555802).

The spelling of 2041054400 in words is "two billion, forty-one million, fifty-four thousand, four hundred".