2250400262656 has 160 divisors (see below), whose sum is σ = 5548916596608. Its totient is φ = 887874600960.

The previous prime is 2250400262651. The next prime is 2250400262659. The reversal of 2250400262656 is 6562620040522.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2250400262651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17314071 + ... + 17443561.

Almost surely, 2^{2250400262656} is an apocalyptic number.

2250400262656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250400262656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774458298304).

2250400262656 is an abundant number, since it is smaller than the sum of its proper divisors (3298516333952).

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

2250400262656 is a wasteful number, since it uses less digits than its factorization.

2250400262656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129902 (or 129886 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 2250400262656 in words is "two trillion, two hundred fifty billion, four hundred million, two hundred sixty-two thousand, six hundred fifty-six".