252420515040 has 96 divisors (see below), whose sum is σ = 800390578176. Its totient is φ = 66866342400.

The previous prime is 252420515021. The next prime is 252420515059. The reversal of 252420515040 is 40515024252.

It is an interprime number because it is at equal distance from previous prime (252420515021) and next prime (252420515059).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×252420515040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 252420514989 and 252420515007.

It is a congruent number.

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, 1668832 + ... + 1813791.

It is an arithmetic number, because the mean of its divisors is an integer number (8337401856).

Almost surely, 2^252420515040 is an apocalyptic number.

252420515040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252420515040 is an abundant number, since it is smaller than the sum of its proper divisors (547970063136).

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

252420515040 is a wasteful number, since it uses less digits than its factorization.

252420515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482792 (or 3482784 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 252420515040 its reverse (40515024252), we get a palindrome (292935539292).

The spelling of 252420515040 in words is "two hundred fifty-two billion, four hundred twenty million, five hundred fifteen thousand, forty".