2805872774400 has 648 divisors, whose sum is σ = 10408677552000. Its totient is φ = 720265297920.

The previous prime is 2805872774399. The next prime is 2805872774461. The reversal of 2805872774400 is 44772785082.

2805872774400 is a `hidden beast` number, since 2 + 80 + 58 + 7 + 2 + 77 + 440 + 0 = 666.

It is a super-2 number, since 2×2805872774400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 599671261 + ... + 599675939.

It is an arithmetic number, because the mean of its divisors is an integer number (16062774000).

Almost surely, 2^{2805872774400} is an apocalyptic number.

2805872774400 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 2805872774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5204338776000).

2805872774400 is an abundant number, since it is smaller than the sum of its proper divisors (7602804777600).

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

2805872774400 is a wasteful number, since it uses less digits than its factorization.

2805872774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 7024640, while the sum is 54.

The spelling of 2805872774400 in words is "two trillion, eight hundred five billion, eight hundred seventy-two million, seven hundred seventy-four thousand, four hundred".