2496649313340 has 576 divisors, whose sum is σ = 9440462304000. Its totient is φ = 523143788544.

The previous prime is 2496649313269. The next prime is 2496649313383. The reversal of 2496649313340 is 433139466942.

2496649313340 is a `hidden beast` number, since 2 + 49 + 66 + 493 + 13 + 3 + 40 = 666.

2496649313340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 412461754 + ... + 412467806.

It is an arithmetic number, because the mean of its divisors is an integer number (16389691500).

Almost surely, 2^{2496649313340} is an apocalyptic number.

2496649313340 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 2496649313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4720231152000).

2496649313340 is an abundant number, since it is smaller than the sum of its proper divisors (6943812990660).

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

2496649313340 is a wasteful number, since it uses less digits than its factorization.

2496649313340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6263 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 2496649313340 in words is "two trillion, four hundred ninety-six billion, six hundred forty-nine million, three hundred thirteen thousand, three hundred forty".