2252266526400 has 336 divisors, whose sum is σ = 8063887116288. Its totient is φ = 545812992000.

The previous prime is 2252266526387. The next prime is 2252266526407. The reversal of 2252266526400 is 46256622522.

It is not an unprimeable number, because it can be changed into a prime (2252266526407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203432865 + ... + 203443935.

Almost surely, 2^{2252266526400} is an apocalyptic number.

2252266526400 is a gapful number since it is divisible by the number (20) 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 2252266526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031943558144).

2252266526400 is an abundant number, since it is smaller than the sum of its proper divisors (5811620589888).

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

2252266526400 is a wasteful number, since it uses less digits than its factorization.

2252266526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14960 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 2252266526400 in words is "two trillion, two hundred fifty-two billion, two hundred sixty-six million, five hundred twenty-six thousand, four hundred".