2813388252 has 96 divisors (see below), whose sum is σ = 6917702400. Its totient is φ = 888717312.

The previous prime is 2813388251. The next prime is 2813388299. The reversal of 2813388252 is 2528833182.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813388251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7422999 + ... + 7423377.

It is an arithmetic number, because the mean of its divisors is an integer number (72059400).

Almost surely, 2^2813388252 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 2813388252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3458851200).

2813388252 is an abundant number, since it is smaller than the sum of its proper divisors (4104314148).

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

2813388252 is a wasteful number, since it uses less digits than its factorization.

2813388252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 753 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 2813388252 is about 53041.3824480471. The cubic root of 2813388252 is about 1411.7026280600.

The spelling of 2813388252 in words is "two billion, eight hundred thirteen million, three hundred eighty-eight thousand, two hundred fifty-two".