2562691880 has 256 divisors, whose sum is σ = 7354368000. Its totient is φ = 783820800.

The previous prime is 2562691871. The next prime is 2562691889. The reversal of 2562691880 is 881962652.

2562691880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2562691871) and next prime (2562691889).

It is not an unprimeable number, because it can be changed into a prime (2562691889) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6761531 + ... + 6761909.

It is an arithmetic number, because the mean of its divisors is an integer number (28728000).

Almost surely, 2^2562691880 is an apocalyptic number.

2562691880 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 2562691880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184000).

2562691880 is an abundant number, since it is smaller than the sum of its proper divisors (4791676120).

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

2562691880 is a wasteful number, since it uses less digits than its factorization.

2562691880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 2562691880 is about 50623.0370483637. The cubic root of 2562691880 is about 1368.4600737580.

The spelling of 2562691880 in words is "two billion, five hundred sixty-two million, six hundred ninety-one thousand, eight hundred eighty".