2562595680 has 96 divisors (see below), whose sum is σ = 8174476800. Its totient is φ = 674698752.

The previous prime is 2562595649. The next prime is 2562595703. The reversal of 2562595680 is 865952652.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4131 + ... + 71709.

It is an arithmetic number, because the mean of its divisors is an integer number (85150800).

Almost surely, 2^2562595680 is an apocalyptic number.

2562595680 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 2562595680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087238400).

2562595680 is an abundant number, since it is smaller than the sum of its proper divisors (5611881120).

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

2562595680 is a wasteful number, since it uses less digits than its factorization.

2562595680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67676 (or 67668 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The square root of 2562595680 is about 50622.0868791479. The cubic root of 2562595680 is about 1368.4429501614.

The spelling of 2562595680 in words is "two billion, five hundred sixty-two million, five hundred ninety-five thousand, six hundred eighty".