2298980534400 has 768 divisors, whose sum is σ = 9474707865600. Its totient is φ = 539343360000.

The previous prime is 2298980534399. The next prime is 2298980534497. The reversal of 2298980534400 is 44350898922.

2298980534400 is a `hidden beast` number, since 2 + 29 + 8 + 9 + 80 + 534 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×2298980534400² (a number of 26 digits) contains 22 as substring.

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

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, 29423385 + ... + 29501415.

It is an arithmetic number, because the mean of its divisors is an integer number (12336859200).

Almost surely, 2^{2298980534400} is an apocalyptic number.

2298980534400 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 2298980534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737353932800).

2298980534400 is an abundant number, since it is smaller than the sum of its proper divisors (7175727331200).

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

2298980534400 is a wasteful number, since it uses less digits than its factorization.

2298980534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78106 (or 78083 counting only the distinct ones).

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

The spelling of 2298980534400 in words is "two trillion, two hundred ninety-eight billion, nine hundred eighty million, five hundred thirty-four thousand, four hundred".