2874358800 has 180 divisors, whose sum is σ = 10019236084. Its totient is φ = 763084800.

The previous prime is 2874358769. The next prime is 2874358813. The reversal of 2874358800 is 88534782.

2874358800 is a `hidden beast` number, since 28 + 7 + 43 + 588 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 167029776 + 2707329024 = 12924^2 + 52032^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2874358800² = 16523877022274880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 865944 + ... + 869256.

Almost surely, 2^2874358800 is an apocalyptic number.

2874358800 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 2874358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5009618042).

2874358800 is an abundant number, since it is smaller than the sum of its proper divisors (7144877284).

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

2874358800 is a wasteful number, since it uses less digits than its factorization.

2874358800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2874358800 is about 53613.0469195699. The cubic root of 2874358800 is about 1421.8277726454.

The spelling of 2874358800 in words is "two billion, eight hundred seventy-four million, three hundred fifty-eight thousand, eight hundred".