2251002120400 has 120 divisors (see below), whose sum is σ = 5953798620000. Its totient is φ = 811036454400.

The previous prime is 2251002120373. The next prime is 2251002120431. The reversal of 2251002120400 is 40212001522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1867150 + ... + 2826349.

It is an arithmetic number, because the mean of its divisors is an integer number (49614988500).

Almost surely, 2^{2251002120400} is an apocalyptic number.

2251002120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251002120400 is an abundant number, since it is smaller than the sum of its proper divisors (3702796499600).

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

2251002120400 is a wasteful number, since it uses less digits than its factorization.

2251002120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693637 (or 4693626 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 2251002120400 its reverse (40212001522), we get a palindrome (2291214121922).

The spelling of 2251002120400 in words is "two trillion, two hundred fifty-one billion, two million, one hundred twenty thousand, four hundred".