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2540730240 = 2735517312
BaseRepresentation
bin1001011101110000…
…0111011110000000
320120001211110200000
42113130013132000
520200411331430
61100040400000
7116650564536
oct22734073600
96501743600
102540730240
1110941a3264
125aaa76000
133164c0499
141a1614156
15ed0c3e60
hex97707780

2540730240 has 576 divisors, whose sum is σ = 9954388080. Its totient is φ = 617103360.

The previous prime is 2540730239. The next prime is 2540730253. The reversal of 2540730240 is 420370452.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81959025 + ... + 81959055.

Almost surely, 22540730240 is an apocalyptic number.

2540730240 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 2540730240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977194040).

2540730240 is an abundant number, since it is smaller than the sum of its proper divisors (7413657840).

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

2540730240 is an equidigital number, since it uses as much as digits as its factorization.

2540730240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2540730240 is about 50405.6568254001. The cubic root of 2540730240 is about 1364.5397313051.

The spelling of 2540730240 in words is "two billion, five hundred forty million, seven hundred thirty thousand, two hundred forty".