2535738688 has 56 divisors (see below), whose sum is σ = 5785299072. Its totient is φ = 1080205824.

The previous prime is 2535738679. The next prime is 2535738691. The reversal of 2535738688 is 8868375352.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2535738688² = 12859941387639922688, 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 7 ways as a sum of consecutive naturals, for example, 57870 + ... + 91762.

It is an arithmetic number, because the mean of its divisors is an integer number (103308912).

Almost surely, 2^2535738688 is an apocalyptic number.

2535738688 is a gapful number since it is divisible by the number (28) 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 2535738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892649536).

2535738688 is an abundant number, since it is smaller than the sum of its proper divisors (3249560384).

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

2535738688 is a wasteful number, since it uses less digits than its factorization.

2535738688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34079 (or 34069 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 55.

The square root of 2535738688 is about 50356.1186748939. The cubic root of 2535738688 is about 1363.6455479150.

The spelling of 2535738688 in words is "two billion, five hundred thirty-five million, seven hundred thirty-eight thousand, six hundred eighty-eight".