2608400880 has 120 divisors (see below), whose sum is σ = 9084387312. Its totient is φ = 695568384.

The previous prime is 2608400869. The next prime is 2608400881. The reversal of 2608400880 is 880048062.

2608400880 is a `hidden beast` number, since 2 + 608 + 40 + 0 + 8 + 8 + 0 = 666.

2608400880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2608400881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47649 + ... + 86528.

Almost surely, 2^2608400880 is an apocalyptic number.

2608400880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2608400880 is an abundant number, since it is smaller than the sum of its proper divisors (6475986432).

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

2608400880 is a wasteful number, since it uses less digits than its factorization.

2608400880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134205 (or 134187 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2608400880 is about 51072.5061065149. The cubic root of 2608400880 is about 1376.5482733740.

The spelling of 2608400880 in words is "two billion, six hundred eight million, four hundred thousand, eight hundred eighty".