2136356040 has 384 divisors, whose sum is σ = 8063712000. Its totient is φ = 443289600.

The previous prime is 2136356011. The next prime is 2136356087. The reversal of 2136356040 is 406536312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2136355989 and 2136356007.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 14337886 + ... + 14338034.

It is an arithmetic number, because the mean of its divisors is an integer number (20999250).

Almost surely, 2^2136356040 is an apocalyptic number.

2136356040 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 2136356040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031856000).

2136356040 is an abundant number, since it is smaller than the sum of its proper divisors (5927355960).

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

2136356040 is a wasteful number, since it uses less digits than its factorization.

2136356040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2136356040 is about 46220.7317120792. The cubic root of 2136356040 is about 1287.9268907103.

The spelling of 2136356040 in words is "two billion, one hundred thirty-six million, three hundred fifty-six thousand, forty".