2913952 has 24 divisors (see below), whose sum is σ = 5879412. Its totient is φ = 1420800.

The previous prime is 2913943. The next prime is 2913961. The reversal of 2913952 is 2593192.

It is an interprime number because it is at equal distance from previous prime (2913943) and next prime (2913961).

It can be written as a sum of positive squares in 2 ways, for example, as 2808976 + 104976 = 1676^2 + 324^2 .

It is a super-2 number, since 2×2913952² = 16982232516608, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 202 + ... + 2422.

2^2913952 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 2913952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939706).

2913952 is an abundant number, since it is smaller than the sum of its proper divisors (2965460).

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

2913952 is a wasteful number, since it uses less digits than its factorization.

2913952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2264 counting only the distinct ones).

The product of its digits is 4860, while the sum is 31.

The square root of 2913952 is about 1707.0301696221. The cubic root of 2913952 is about 142.8326403691.

Subtracting from 2913952 its product of digits (4860), we obtain a palindrome (2909092).

It can be divided in two parts, 2 and 913952, that multiplied together give a square (1827904 = 1352²).

The spelling of 2913952 in words is "two million, nine hundred thirteen thousand, nine hundred fifty-two".