2250349597440 has 432 divisors, whose sum is σ = 8902378046016. Its totient is φ = 514127462400.

The previous prime is 2250349597421. The next prime is 2250349597453. The reversal of 2250349597440 is 447959430522.

It is a happy number.

2250349597440 is a `hidden beast` number, since 2 + 2 + 5 + 0 + 3 + 4 + 9 + 597 + 4 + 40 = 666.

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, 221029150 + ... + 221039330.

It is an arithmetic number, because the mean of its divisors is an integer number (20607356588).

Almost surely, 2^{2250349597440} is an apocalyptic number.

2250349597440 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 2250349597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451189023008).

2250349597440 is an abundant number, since it is smaller than the sum of its proper divisors (6652028448576).

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

2250349597440 is a wasteful number, since it uses less digits than its factorization.

2250349597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12956 (or 12939 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2250349597440 in words is "two trillion, two hundred fifty billion, three hundred forty-nine million, five hundred ninety-seven thousand, four hundred forty".