2509952 has 16 divisors (see below), whose sum is σ = 5000550. Its totient is φ = 1254912.

The previous prime is 2509937. The next prime is 2509961. The reversal of 2509952 is 2599052.

It can be written as a sum of positive squares in only one way, i.e., 1308736 + 1201216 = 1144^2 + 1096^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9677 + ... + 9932.

2^2509952 is an apocalyptic number.

It is an amenable number.

2509952 is a deficient number, since it is larger than the sum of its proper divisors (2490598).

2509952 is an equidigital number, since it uses as much as digits as its factorization.

2509952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19623 (or 19611 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 2509952 is about 1584.2828030374. The cubic root of 2509952 is about 135.9007349468.

Subtracting from 2509952 its sum of digits (32), we obtain a triangular number (2509920 = T₂₂₄₀).

The spelling of 2509952 in words is "two million, five hundred nine thousand, nine hundred fifty-two".