2752629264 has 320 divisors, whose sum is σ = 9979361280. Its totient is φ = 705646080.

The previous prime is 2752629223. The next prime is 2752629289. The reversal of 2752629264 is 4629262572.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2760414 + ... + 2761410.

It is an arithmetic number, because the mean of its divisors is an integer number (31185504).

Almost surely, 2^2752629264 is an apocalyptic number.

2752629264 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 2752629264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989680640).

2752629264 is an abundant number, since it is smaller than the sum of its proper divisors (7226732016).

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

2752629264 is a wasteful number, since it uses less digits than its factorization.

2752629264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1115 (or 1103 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2752629264 is about 52465.5054678786. The cubic root of 2752629264 is about 1401.4660262026.

The spelling of 2752629264 in words is "two billion, seven hundred fifty-two million, six hundred twenty-nine thousand, two hundred sixty-four".