2874536000 has 168 divisors, whose sum is σ = 8282168856. Its totient is φ = 985420800.

The previous prime is 2874535997. The next prime is 2874536009. The reversal of 2874536000 is 6354782.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 822083584 + 2052452416 = 28672^2 + 45304^2 .

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874536009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388334 + ... + 395666.

Almost surely, 2^2874536000 is an apocalyptic number.

2874536000 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 2874536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141084428).

2874536000 is an abundant number, since it is smaller than the sum of its proper divisors (5407632856).

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

2874536000 is an equidigital number, since it uses as much as digits as its factorization.

2874536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7374 (or 7347 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2874536000 is about 53614.6994769158. The cubic root of 2874536000 is about 1421.8569899099.

The spelling of 2874536000 in words is "two billion, eight hundred seventy-four million, five hundred thirty-six thousand".