2252595744000 has 2880 divisors, whose sum is σ = 10389507448320. Its totient is φ = 472979865600.

The previous prime is 2252595743977. The next prime is 2252595744053. The reversal of 2252595744000 is 4475952522.

2252595744000 is a `hidden beast` number, since 2 + 2 + 52 + 595 + 7 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 20666015946 + ... + 20666016054.

It is an arithmetic number, because the mean of its divisors is an integer number (3607467864).

Almost surely, 2^{2252595744000} is an apocalyptic number.

2252595744000 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 2252595744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5194753724160).

2252595744000 is an abundant number, since it is smaller than the sum of its proper divisors (8136911704320).

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

2252595744000 is a wasteful number, since it uses less digits than its factorization.

2252595744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2252595744000 in words is "two trillion, two hundred fifty-two billion, five hundred ninety-five million, seven hundred forty-four thousand".