2251962374200 has 576 divisors, whose sum is σ = 6779868739200. Its totient is φ = 687676953600.

The previous prime is 2251962374119. The next prime is 2251962374237. The reversal of 2251962374200 is 24732691522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3326384262 + ... + 3326384938.

It is an arithmetic number, because the mean of its divisors is an integer number (11770605450).

Almost surely, 2^{2251962374200} is an apocalyptic number.

2251962374200 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 2251962374200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389934369600).

2251962374200 is an abundant number, since it is smaller than the sum of its proper divisors (4527906365000).

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

2251962374200 is a wasteful number, since it uses less digits than its factorization.

2251962374200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 2251962374200 in words is "two trillion, two hundred fifty-one billion, nine hundred sixty-two million, three hundred seventy-four thousand, two hundred".