2562742855680 has 384 divisors, whose sum is σ = 9466703850240. Its totient is φ = 579726213120.

The previous prime is 2562742855679. The next prime is 2562742855681. The reversal of 2562742855680 is 865582472652.

It is an interprime number because it is at equal distance from previous prime (2562742855679) and next prime (2562742855681).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2562742855681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20797450 + ... + 20920310.

It is an arithmetic number, because the mean of its divisors is an integer number (24652874610).

Almost surely, 2^{2562742855680} is an apocalyptic number.

2562742855680 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 2562742855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733351925120).

2562742855680 is an abundant number, since it is smaller than the sum of its proper divisors (6903960994560).

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

2562742855680 is a wasteful number, since it uses less digits than its factorization.

2562742855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122995 (or 122975 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 60.

The spelling of 2562742855680 in words is "two trillion, five hundred sixty-two billion, seven hundred forty-two million, eight hundred fifty-five thousand, six hundred eighty".