2502752752746 has 64 divisors (see below), whose sum is σ = 5742620098560. Its totient is φ = 807123245040.

The previous prime is 2502752752739. The next prime is 2502752752807. The reversal of 2502752752746 is 6472572572052.

2502752752746 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 75 + 2 + 7 + 527 + 46 = 666.

It is a super-2 number, since 2×2502752752746² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2502752752692 and 2502752752701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6107515 + ... + 6504401.

It is an arithmetic number, because the mean of its divisors is an integer number (89728439040).

Almost surely, 2^{2502752752746} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502752752746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2871310049280).

2502752752746 is an abundant number, since it is smaller than the sum of its proper divisors (3239867345814).

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

2502752752746 is a wasteful number, since it uses less digits than its factorization.

2502752752746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400696 (or 400690 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 2502752752746 in words is "two trillion, five hundred two billion, seven hundred fifty-two million, seven hundred fifty-two thousand, seven hundred forty-six".