2657374464 has 72 divisors (see below), whose sum is σ = 7117862080. Its totient is φ = 880109568.

The previous prime is 2657374441. The next prime is 2657374471. The reversal of 2657374464 is 4644737562.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109557 + ... + 131595.

Almost surely, 2^2657374464 is an apocalyptic number.

2657374464 is a gapful number since it is divisible by the number (24) 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 2657374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558931040).

2657374464 is an abundant number, since it is smaller than the sum of its proper divisors (4460487616).

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

2657374464 is a wasteful number, since it uses less digits than its factorization.

2657374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22215 (or 22201 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 48.

The square root of 2657374464 is about 51549.7280691179. The cubic root of 2657374464 is about 1385.1099608160.

The spelling of 2657374464 in words is "two billion, six hundred fifty-seven million, three hundred seventy-four thousand, four hundred sixty-four".