2250593457120 has 288 divisors, whose sum is σ = 8031660017472. Its totient is φ = 572804407296.

The previous prime is 2250593457071. The next prime is 2250593457139. The reversal of 2250593457120 is 217543950522.

2250593457120 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 59 + 3 + 4 + 571 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 15061494 + ... + 15210186.

It is an arithmetic number, because the mean of its divisors is an integer number (27887708394).

Almost surely, 2^{2250593457120} is an apocalyptic number.

2250593457120 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 2250593457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015830008736).

2250593457120 is an abundant number, since it is smaller than the sum of its proper divisors (5781066560352).

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

2250593457120 is a wasteful number, since it uses less digits than its factorization.

2250593457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149194 (or 149183 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 2250593457120 in words is "two trillion, two hundred fifty billion, five hundred ninety-three million, four hundred fifty-seven thousand, one hundred twenty".