2535668064 has 288 divisors, whose sum is σ = 7884205056. Its totient is φ = 800616960.

The previous prime is 2535668027. The next prime is 2535668077. The reversal of 2535668064 is 4608665352.

2535668064 is a `hidden beast` number, since 2 + 5 + 3 + 566 + 80 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2535668064² = 12859225061579016192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16150674 + ... + 16150830.

It is an arithmetic number, because the mean of its divisors is an integer number (27375712).

Almost surely, 2^2535668064 is an apocalyptic number.

2535668064 is a gapful number since it is divisible by the number (24) 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 2535668064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942102528).

2535668064 is an abundant number, since it is smaller than the sum of its proper divisors (5348536992).

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

2535668064 is a wasteful number, since it uses less digits than its factorization.

2535668064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 2535668064 is about 50355.4174245433. The cubic root of 2535668064 is about 1363.6328879621.

The spelling of 2535668064 in words is "two billion, five hundred thirty-five million, six hundred sixty-eight thousand, sixty-four".