2356791140 has 96 divisors (see below), whose sum is σ = 5828578560. Its totient is φ = 791436800.

The previous prime is 2356791137. The next prime is 2356791193. The reversal of 2356791140 is 411976532.

2356791140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2356791094 and 2356791103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138710 + ... + 154770.

It is an arithmetic number, because the mean of its divisors is an integer number (60714360).

Almost surely, 2^2356791140 is an apocalyptic number.

2356791140 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 2356791140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914289280).

2356791140 is an abundant number, since it is smaller than the sum of its proper divisors (3471787420).

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

2356791140 is a wasteful number, since it uses less digits than its factorization.

2356791140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16133 (or 16131 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 2356791140 is about 48546.7933029567. The cubic root of 2356791140 is about 1330.7823501150.

The spelling of 2356791140 in words is "two billion, three hundred fifty-six million, seven hundred ninety-one thousand, one hundred forty".