2657454976 has 64 divisors (see below), whose sum is σ = 5785052400. Its totient is φ = 1205923840.

The previous prime is 2657454973. The next prime is 2657455001. The reversal of 2657454976 is 6794547562.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2657454973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1137906 + ... + 1140238.

Almost surely, 2^2657454976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2657454976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892526200).

2657454976 is an abundant number, since it is smaller than the sum of its proper divisors (3127597424).

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

2657454976 is a wasteful number, since it uses less digits than its factorization.

2657454976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3167 (or 3155 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 55.

The square root of 2657454976 is about 51550.5089790586. The cubic root of 2657454976 is about 1385.1239491654.

The spelling of 2657454976 in words is "two billion, six hundred fifty-seven million, four hundred fifty-four thousand, nine hundred seventy-six".