2814961352 has 96 divisors (see below), whose sum is σ = 6354633600. Its totient is φ = 1145033472.

The previous prime is 2814961343. The next prime is 2814961361. The reversal of 2814961352 is 2531694182.

2814961352 is digitally balanced in base 2, because in such base 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 (2814961343) and next prime (2814961361).

Its product of digits (103680) is a multiple of the sum of its prime divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4946924 + ... + 4947492.

It is an arithmetic number, because the mean of its divisors is an integer number (66194100).

Almost surely, 2^2814961352 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 2814961352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177316800).

2814961352 is an abundant number, since it is smaller than the sum of its proper divisors (3539672248).

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

2814961352 is a wasteful number, since it uses less digits than its factorization.

2814961352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 768 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 2814961352 is about 53056.2093632781. The cubic root of 2814961352 is about 1411.9656958659.

The spelling of 2814961352 in words is "two billion, eight hundred fourteen million, nine hundred sixty-one thousand, three hundred fifty-two".