2879847936 has 480 divisors, whose sum is σ = 10349813760. Its totient is φ = 752467968.

The previous prime is 2879847911. The next prime is 2879847953. The reversal of 2879847936 is 6397489782.

2879847936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22675905 + ... + 22676031.

It is an arithmetic number, because the mean of its divisors is an integer number (21562112).

Almost surely, 2^2879847936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2879847936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174906880).

2879847936 is an abundant number, since it is smaller than the sum of its proper divisors (7469965824).

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

2879847936 is a wasteful number, since it uses less digits than its factorization.

2879847936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The square root of 2879847936 is about 53664.2146686225. The cubic root of 2879847936 is about 1422.7322808264.

The spelling of 2879847936 in words is "two billion, eight hundred seventy-nine million, eight hundred forty-seven thousand, nine hundred thirty-six".