2514711264 has 96 divisors (see below), whose sum is σ = 7527129120. Its totient is φ = 728236032.

The previous prime is 2514711257. The next prime is 2514711271. The reversal of 2514711264 is 4621174152.

2514711264 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 an interprime number because it is at equal distance from previous prime (2514711257) and next prime (2514711271).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38049 + ... + 80480.

It is an arithmetic number, because the mean of its divisors is an integer number (78407595).

Almost surely, 2^2514711264 is an apocalyptic number.

2514711264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2514711264 is an abundant number, since it is smaller than the sum of its proper divisors (5012417856).

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

2514711264 is a wasteful number, since it uses less digits than its factorization.

2514711264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118572 (or 118564 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 2514711264 is about 50146.8968531454. The cubic root of 2514711264 is about 1359.8657710661.

The spelling of 2514711264 in words is "two billion, five hundred fourteen million, seven hundred eleven thousand, two hundred sixty-four".