2252969441280 has 384 divisors, whose sum is σ = 8020249473600. Its totient is φ = 599918247936.

The previous prime is 2252969441251. The next prime is 2252969441381. The reversal of 2252969441280 is 821449692522.

2252969441280 is a `hidden beast` number, since 2 + 2 + 52 + 96 + 94 + 412 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202654282 + ... + 202665398.

Almost surely, 2^{2252969441280} is an apocalyptic number.

2252969441280 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 2252969441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4010124736800).

2252969441280 is an abundant number, since it is smaller than the sum of its proper divisors (5767280032320).

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

2252969441280 is a wasteful number, since it uses less digits than its factorization.

2252969441280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11886 (or 11860 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2252969441280 in words is "two trillion, two hundred fifty-two billion, nine hundred sixty-nine million, four hundred forty-one thousand, two hundred eighty".