252695040 has 160 divisors (see below), whose sum is σ = 870319296. Its totient is φ = 62177280.

The previous prime is 252695039. The next prime is 252695057. The reversal of 252695040 is 40596252.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 252694992 and 252695010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98575 + ... + 101105.

Almost surely, 2^252695040 is an apocalyptic number.

252695040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435159648).

252695040 is an abundant number, since it is smaller than the sum of its proper divisors (617624256).

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

252695040 is a wasteful number, since it uses less digits than its factorization.

252695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 252695040 is about 15896.3844945950. The cubic root of 252695040 is about 632.2161307474.

The spelling of 252695040 in words is "two hundred fifty-two million, six hundred ninety-five thousand, forty".