2879735040 has 864 divisors, whose sum is σ = 12749458176. Its totient is φ = 583925760.

The previous prime is 2879735039. The next prime is 2879735059. The reversal of 2879735040 is 405379782.

2879735040 is a `hidden beast` number, since 2 + 8 + 79 + 73 + 504 + 0 = 666.

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, 42981087 + ... + 42981153.

Almost surely, 2^2879735040 is an apocalyptic number.

2879735040 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 2879735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374729088).

2879735040 is an abundant number, since it is smaller than the sum of its proper divisors (9869723136).

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

2879735040 is a wasteful number, since it uses less digits than its factorization.

2879735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 2879735040 is about 53663.1627841669. The cubic root of 2879735040 is about 1422.7136892334.

The spelling of 2879735040 in words is "two billion, eight hundred seventy-nine million, seven hundred thirty-five thousand, forty".