2936795840 has 168 divisors, whose sum is σ = 7799588160. Its totient is φ = 1052282880.

The previous prime is 2936795837. The next prime is 2936795861. The reversal of 2936795840 is 485976392.

It is a happy number.

2936795840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2936795840⁴ (a number of 39 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2826041 + ... + 2827079.

It is an arithmetic number, because the mean of its divisors is an integer number (46426120).

Almost surely, 2^2936795840 is an apocalyptic number.

2936795840 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 2936795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899794080).

2936795840 is an abundant number, since it is smaller than the sum of its proper divisors (4862792320).

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

2936795840 is a wasteful number, since it uses less digits than its factorization.

2936795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 53.

The square root of 2936795840 is about 54192.2119865945. The cubic root of 2936795840 is about 1432.0491332767.

The spelling of 2936795840 in words is "two billion, nine hundred thirty-six million, seven hundred ninety-five thousand, eight hundred forty".