2493600782472 has 256 divisors, whose sum is σ = 7087046400000. Its totient is φ = 812155680000.

The previous prime is 2493600782467. The next prime is 2493600782501. The reversal of 2493600782472 is 2742870063942.

2493600782472 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 600 + 7 + 8 + 24 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1663508779 + ... + 1663510277.

It is an arithmetic number, because the mean of its divisors is an integer number (27683775000).

Almost surely, 2^{2493600782472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493600782472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543523200000).

2493600782472 is an abundant number, since it is smaller than the sum of its proper divisors (4593445617528).

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

2493600782472 is a wasteful number, since it uses less digits than its factorization.

2493600782472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2493600782472 in words is "two trillion, four hundred ninety-three billion, six hundred million, seven hundred eighty-two thousand, four hundred seventy-two".