2460734640 has 720 divisors, whose sum is σ = 10704814848. Its totient is φ = 514335744.

The previous prime is 2460734587. The next prime is 2460734701. The reversal of 2460734640 is 464370642.

2460734640 is a `hidden beast` number, since 2 + 4 + 6 + 0 + 7 + 3 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-5 number, since 5×2460734640⁵ (a number of 48 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2460734595 and 2460734604.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22997467 + ... + 22997573.

Almost surely, 2^2460734640 is an apocalyptic number.

2460734640 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 2460734640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352407424).

2460734640 is an abundant number, since it is smaller than the sum of its proper divisors (8244080208).

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

2460734640 is a wasteful number, since it uses less digits than its factorization.

2460734640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2460734640 is about 49605.7924037103. The cubic root of 2460734640 is about 1350.0657745731.

The spelling of 2460734640 in words is "two billion, four hundred sixty million, seven hundred thirty-four thousand, six hundred forty".