2555679360 has 512 divisors, whose sum is σ = 9808646400. Its totient is φ = 559153152.

The previous prime is 2555679337. The next prime is 2555679361. The reversal of 2555679360 is 639765552.

It is a super-2 number, since 2×2555679360² = 13062993982260019200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2555679361) 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, 8061922 + ... + 8062238.

Almost surely, 2^2555679360 is an apocalyptic number.

2555679360 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 2555679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904323200).

2555679360 is an abundant number, since it is smaller than the sum of its proper divisors (7252967040).

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

2555679360 is a wasteful number, since it uses less digits than its factorization.

2555679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 48.

The square root of 2555679360 is about 50553.7274590114. The cubic root of 2555679360 is about 1367.2107207946.

The spelling of 2555679360 in words is "two billion, five hundred fifty-five million, six hundred seventy-nine thousand, three hundred sixty".