2252315000240 has 80 divisors (see below), whose sum is σ = 5264178919200. Its totient is φ = 896198983680.

The previous prime is 2252315000141. The next prime is 2252315000249. The reversal of 2252315000240 is 420005132522.

2252315000240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2252315000240² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2252315000249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11794802 + ... + 11984238.

It is an arithmetic number, because the mean of its divisors is an integer number (65802236490).

Almost surely, 2^{2252315000240} is an apocalyptic number.

2252315000240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252315000240 is an abundant number, since it is smaller than the sum of its proper divisors (3011863918960).

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

2252315000240 is a wasteful number, since it uses less digits than its factorization.

2252315000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190230 (or 190224 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 2252315000240 in words is "two trillion, two hundred fifty-two billion, three hundred fifteen million, two hundred forty", and thus it is an aban number.