2251751316192 has 1536 divisors, whose sum is σ = 8743491993600. Its totient is φ = 549749514240.

The previous prime is 2251751316163. The next prime is 2251751316233. The reversal of 2251751316192 is 2916131571522.

2251751316192 is a `hidden beast` number, since 2 + 2 + 5 + 17 + 5 + 13 + 1 + 619 + 2 = 666.

It is a super-2 number, since 2×2251751316192² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21861663213 + ... + 21861663315.

It is an arithmetic number, because the mean of its divisors is an integer number (5692377600).

Almost surely, 2^{2251751316192} 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 2251751316192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4371745996800).

2251751316192 is an abundant number, since it is smaller than the sum of its proper divisors (6491740677408).

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

2251751316192 is a wasteful number, since it uses less digits than its factorization.

2251751316192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 182 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The spelling of 2251751316192 in words is "two trillion, two hundred fifty-one billion, seven hundred fifty-one million, three hundred sixteen thousand, one hundred ninety-two".