2645770982400 has 2376 divisors, whose sum is σ = 12434619472704. Its totient is φ = 524471500800.

The previous prime is 2645770982381. The next prime is 2645770982431. The reversal of 2645770982400 is 42890775462.

2645770982400 is a `hidden beast` number, since 2 + 6 + 457 + 70 + 9 + 82 + 40 + 0 = 666.

It is a super-2 number, since 2×2645770982400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4633574115 + ... + 4633574685.

It is an arithmetic number, because the mean of its divisors is an integer number (5233425704).

Almost surely, 2^{2645770982400} is an apocalyptic number.

2645770982400 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 2645770982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217309736352).

2645770982400 is an abundant number, since it is smaller than the sum of its proper divisors (9788848490304).

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

2645770982400 is a wasteful number, since it uses less digits than its factorization.

2645770982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2645770982400 in words is "two trillion, six hundred forty-five billion, seven hundred seventy million, nine hundred eighty-two thousand, four hundred".