2874549600 has 576 divisors, whose sum is σ = 11614881600. Its totient is φ = 681246720.

The previous prime is 2874549599. The next prime is 2874549619. The reversal of 2874549600 is 69454782.

It is a happy number.

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

It is a congruent number.

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, 8143024 + ... + 8143376.

It is an arithmetic number, because the mean of its divisors is an integer number (20164725).

Almost surely, 2^2874549600 is an apocalyptic number.

2874549600 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 2874549600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5807440800).

2874549600 is an abundant number, since it is smaller than the sum of its proper divisors (8740332000).

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

2874549600 is a wasteful number, since it uses less digits than its factorization.

2874549600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2874549600 is about 53614.8263076549. The cubic root of 2874549600 is about 1421.8592322689.

The spelling of 2874549600 in words is "two billion, eight hundred seventy-four million, five hundred forty-nine thousand, six hundred".