2536128000 has 960 divisors, whose sum is σ = 11352451968. Its totient is φ = 530841600.

The previous prime is 2536127977. The next prime is 2536128031. The reversal of 2536128000 is 8216352.

2536128000 is a `hidden beast` number, since 2 + 536 + 128 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68543982 + ... + 68544018.

Almost surely, 2^2536128000 is an apocalyptic number.

2536128000 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 2536128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676225984).

2536128000 is an abundant number, since it is smaller than the sum of its proper divisors (8816323968).

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

2536128000 is a wasteful number, since it uses less digits than its factorization.

2536128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2536128000 is about 50359.9841143740. The cubic root of 2536128000 is about 1363.7153311845.

It can be divided in two parts, 25361 and 28000, that added together give a square (53361 = 231²).

The spelling of 2536128000 in words is "two billion, five hundred thirty-six million, one hundred twenty-eight thousand".