2252505024 has 672 divisors, whose sum is σ = 8864396800. Its totient is φ = 554273280.

The previous prime is 2252504993. The next prime is 2252505037. The reversal of 2252505024 is 4205052522.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118552887 + ... + 118552905.

Almost surely, 2^2252505024 is an apocalyptic number.

2252505024 is a gapful number since it is divisible by the number (24) 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 2252505024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432198400).

2252505024 is an abundant number, since it is smaller than the sum of its proper divisors (6611891776).

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

2252505024 is an equidigital number, since it uses as much as digits as its factorization.

2252505024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2252505024 is about 47460.5628285211. The cubic root of 2252505024 is about 1310.8568145282.

Adding to 2252505024 its reverse (4205052522), we get a palindrome (6457557546).

The spelling of 2252505024 in words is "two billion, two hundred fifty-two million, five hundred five thousand, twenty-four".