2752640264 has 64 divisors (see below), whose sum is σ = 5709225600. Its totient is φ = 1233792000.

The previous prime is 2752640263. The next prime is 2752640269. The reversal of 2752640264 is 4620462572.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2752640263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2994797 + ... + 2995715.

It is an arithmetic number, because the mean of its divisors is an integer number (89206650).

Almost surely, 2^2752640264 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 2752640264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854612800).

2752640264 is an abundant number, since it is smaller than the sum of its proper divisors (2956585336).

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

2752640264 is a wasteful number, since it uses less digits than its factorization.

2752640264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The square root of 2752640264 is about 52465.6102985565. The cubic root of 2752640264 is about 1401.4678930366.

The spelling of 2752640264 in words is "two billion, seven hundred fifty-two million, six hundred forty thousand, two hundred sixty-four".