2251038408192 has 960 divisors, whose sum is σ = 7873505063424. Its totient is φ = 628848230400.

The previous prime is 2251038408137. The next prime is 2251038408217. The reversal of 2251038408192 is 2918048301522.

2251038408192 is a `hidden beast` number, since 2 + 2 + 51 + 0 + 3 + 8 + 408 + 192 = 666.

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, 13810051503 + ... + 13810051665.

Almost surely, 2^{2251038408192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251038408192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936752531712).

2251038408192 is an abundant number, since it is smaller than the sum of its proper divisors (5622466655232).

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

2251038408192 is a wasteful number, since it uses less digits than its factorization.

2251038408192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 2251038408192 in words is "two trillion, two hundred fifty-one billion, thirty-eight million, four hundred eight thousand, one hundred ninety-two".