2556621760 has 448 divisors, whose sum is σ = 8239841280. Its totient is φ = 731566080.

The previous prime is 2556621733. The next prime is 2556621761. The reversal of 2556621760 is 671266552.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556621761) 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, 20130817 + ... + 20130943.

Almost surely, 2^2556621760 is an apocalyptic number.

2556621760 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 2556621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119920640).

2556621760 is an abundant number, since it is smaller than the sum of its proper divisors (5683219520).

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

2556621760 is a wasteful number, since it uses less digits than its factorization.

2556621760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 2556621760 is about 50563.0473765180. The cubic root of 2556621760 is about 1367.3787519209.

The spelling of 2556621760 in words is "two billion, five hundred fifty-six million, six hundred twenty-one thousand, seven hundred sixty".