252764240 has 20 divisors (see below), whose sum is σ = 587677044. Its totient is φ = 101105664.

The previous prime is 252764233. The next prime is 252764251. The reversal of 252764240 is 42467252.

It can be written as a sum of positive squares in 2 ways, for example, as 35378704 + 217385536 = 5948^2 + 14744^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×252764240² = 127779522045555200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252764197 and 252764206.

It is a congruent number.

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, 1579697 + ... + 1579856.

Almost surely, 2^252764240 is an apocalyptic number.

252764240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252764240 is an abundant number, since it is smaller than the sum of its proper divisors (334912804).

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

252764240 is a wasteful number, since it uses less digits than its factorization.

252764240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3159566 (or 3159560 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 252764240 is about 15898.5609411670. The cubic root of 252764240 is about 632.2738358285.

The spelling of 252764240 in words is "two hundred fifty-two million, seven hundred sixty-four thousand, two hundred forty".