2251050410400 has 216 divisors, whose sum is σ = 8053831521792. Its totient is φ = 545709120000.

The previous prime is 2251050410383. The next prime is 2251050410503. The reversal of 2251050410400 is 40140501522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3585376 + ... + 4166175.

Almost surely, 2^{2251050410400} is an apocalyptic number.

2251050410400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251050410400 is an abundant number, since it is smaller than the sum of its proper divisors (5802781111392).

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

2251050410400 is a wasteful number, since it uses less digits than its factorization.

2251050410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7751596 (or 7751572 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 2251050410400 its reverse (40140501522), we get a palindrome (2291190911922).

The spelling of 2251050410400 in words is "two trillion, two hundred fifty-one billion, fifty million, four hundred ten thousand, four hundred".