2713614264 has 128 divisors (see below), whose sum is σ = 7827456000. Its totient is φ = 870134400.

The previous prime is 2713614259. The next prime is 2713614271. The reversal of 2713614264 is 4624163172.

2713614264 is a `hidden beast` number, since 2 + 7 + 13 + 614 + 26 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210857 + ... + 1213095.

It is an arithmetic number, because the mean of its divisors is an integer number (61152000).

Almost surely, 2^2713614264 is an apocalyptic number.

2713614264 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 2713614264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913728000).

2713614264 is an abundant number, since it is smaller than the sum of its proper divisors (5113841736).

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

2713614264 is a wasteful number, since it uses less digits than its factorization.

2713614264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466 (or 2456 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2713614264 is about 52092.3628183633. The cubic root of 2713614264 is about 1394.8131649421.

It can be divided in two parts, 271361 and 4264, that added together give a square (275625 = 525²).

The spelling of 2713614264 in words is "two billion, seven hundred thirteen million, six hundred fourteen thousand, two hundred sixty-four".