2251926395264 has 576 divisors, whose sum is σ = 6142039833600. Its totient is φ = 816532254720.

The previous prime is 2251926395261. The next prime is 2251926395269. The reversal of 2251926395264 is 4625936291522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251926395261) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 624319349 + ... + 624322955.

It is an arithmetic number, because the mean of its divisors is an integer number (10663263600).

Almost surely, 2^{2251926395264} 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 2251926395264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071019916800).

2251926395264 is an abundant number, since it is smaller than the sum of its proper divisors (3890113438336).

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

2251926395264 is a wasteful number, since it uses less digits than its factorization.

2251926395264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711 (or 3679 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 56.

The spelling of 2251926395264 in words is "two trillion, two hundred fifty-one billion, nine hundred twenty-six million, three hundred ninety-five thousand, two hundred sixty-four".