2552509242024 has 64 divisors (see below), whose sum is σ = 7721876707200. Its totient is φ = 686389039104.

The previous prime is 2552509242013. The next prime is 2552509242029. The reversal of 2552509242024 is 4202429052552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2552509242029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 446865009 + ... + 446870720.

It is an arithmetic number, because the mean of its divisors is an integer number (120654323550).

Almost surely, 2^{2552509242024} is an apocalyptic number.

2552509242024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2552509242024 is an abundant number, since it is smaller than the sum of its proper divisors (5169367465176).

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

2552509242024 is a wasteful number, since it uses less digits than its factorization.

2552509242024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893735762 (or 893735758 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 2552509242024 in words is "two trillion, five hundred fifty-two billion, five hundred nine million, two hundred forty-two thousand, twenty-four".