2290057246400 has 672 divisors, whose sum is σ = 7375687925760. Its totient is φ = 678984192000.

The previous prime is 2290057246391. The next prime is 2290057246439. The reversal of 2290057246400 is 46427500922.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225327719 + ... + 225337881.

It is an arithmetic number, because the mean of its divisors is an integer number (10975726080).

Almost surely, 2^{2290057246400} is an apocalyptic number.

2290057246400 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 2290057246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687843962880).

2290057246400 is an abundant number, since it is smaller than the sum of its proper divisors (5085630679360).

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

2290057246400 is a wasteful number, since it uses less digits than its factorization.

2290057246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10293 (or 10278 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 2290057246400 in words is "two trillion, two hundred ninety billion, fifty-seven million, two hundred forty-six thousand, four hundred".