2136560400 has 360 divisors, whose sum is σ = 8109855936. Its totient is φ = 517708800.

The previous prime is 2136560399. The next prime is 2136560401. The reversal of 2136560400 is 40656312.

2136560400 is a `hidden beast` number, since 2 + 1 + 3 + 656 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2136560399) and next prime (2136560401).

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (2136560401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3322479 + ... + 3323121.

Almost surely, 2^2136560400 is an apocalyptic number.

2136560400 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 2136560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054927968).

2136560400 is an abundant number, since it is smaller than the sum of its proper divisors (5973295536).

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

2136560400 is a wasteful number, since it uses less digits than its factorization.

2136560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2136560400 is about 46222.9423555013. The cubic root of 2136560400 is about 1287.9679563289.

The spelling of 2136560400 in words is "two billion, one hundred thirty-six million, five hundred sixty thousand, four hundred".