2874735000 has 240 divisors, whose sum is σ = 9809016360. Its totient is φ = 760320000.

The previous prime is 2874734917. The next prime is 2874735007. The reversal of 2874735000 is 5374782.

2874735000 is a `hidden beast` number, since 2 + 87 + 4 + 73 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2874735007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8684835 + ... + 8685165.

Almost surely, 2^2874735000 is an apocalyptic number.

2874735000 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 2874735000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904508180).

2874735000 is an abundant number, since it is smaller than the sum of its proper divisors (6934281360).

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

2874735000 is a wasteful number, since it uses less digits than its factorization.

2874735000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2874735000 is about 53616.5552791300. Note that the first 3 decimals coincide. The cubic root of 2874735000 is about 1421.8898001921.

The spelling of 2874735000 in words is "two billion, eight hundred seventy-four million, seven hundred thirty-five thousand".