2536213680 has 1600 divisors, whose sum is σ = 13067163648. Its totient is φ = 437944320.

The previous prime is 2536213661. The next prime is 2536213699. The reversal of 2536213680 is 863126352.

It is a happy number.

2536213680 is a `hidden beast` number, since 25 + 3 + 621 + 3 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2536213661) and next prime (2536213699).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 110270149 + ... + 110270171.

Almost surely, 2^2536213680 is an apocalyptic number.

2536213680 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 2536213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533581824).

2536213680 is an abundant number, since it is smaller than the sum of its proper divisors (10530949968).

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

2536213680 is a wasteful number, since it uses less digits than its factorization.

2536213680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2536213680 is about 50360.8347825967. The cubic root of 2536213680 is about 1363.7306881662.

The spelling of 2536213680 in words is "two billion, five hundred thirty-six million, two hundred thirteen thousand, six hundred eighty".