2512252314400 has 144 divisors (see below), whose sum is σ = 6392810583936. Its totient is φ = 963147525120.

The previous prime is 2512252314371. The next prime is 2512252314461. The reversal of 2512252314400 is 44132522152.

It is a happy number.

It is a super-2 number, since 2×2512252314400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1349817 + ... + 2616583.

It is an arithmetic number, because the mean of its divisors is an integer number (44394517944).

Almost surely, 2^{2512252314400} is an apocalyptic number.

2512252314400 is a gapful number since it is divisible by the number (20) 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 2512252314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196405291968).

2512252314400 is an abundant number, since it is smaller than the sum of its proper divisors (3880558269536).

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

2512252314400 is a wasteful number, since it uses less digits than its factorization.

2512252314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266891 (or 1266878 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 2512252314400 its reverse (44132522152), we get a palindrome (2556384836552).

The spelling of 2512252314400 in words is "two trillion, five hundred twelve billion, two hundred fifty-two million, three hundred fourteen thousand, four hundred".