2452560652542 has 96 divisors (see below), whose sum is σ = 6635790475776. Its totient is φ = 588026514240.

The previous prime is 2452560652537. The next prime is 2452560652559.

2452560652542 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2452560652491 and 2452560652500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18495378 + ... + 18627509.

It is an arithmetic number, because the mean of its divisors is an integer number (69122817456).

Almost surely, 2^{2452560652542} is an apocalyptic number.

2452560652542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2452560652542 is an abundant number, since it is smaller than the sum of its proper divisors (4183229823234).

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

2452560652542 is a wasteful number, since it uses less digits than its factorization.

2452560652542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37122934 (or 37122923 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 2452560652542 in words is "two trillion, four hundred fifty-two billion, five hundred sixty million, six hundred fifty-two thousand, five hundred forty-two".