2535579648 has 336 divisors, whose sum is σ = 8894003040. Its totient is φ = 681836544.

The previous prime is 2535579647. The next prime is 2535579653. The reversal of 2535579648 is 8469755352.

2535579648 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 579 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

Its product of digits (9072000) is a multiple of the sum of its prime factors (90).

It is a junction number, because it is equal to n+sod(n) for n = 2535579594 and 2535579603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535579647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149151736 + ... + 149151752.

Almost surely, 2^2535579648 is an apocalyptic number.

2535579648 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 2535579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447001520).

2535579648 is an abundant number, since it is smaller than the sum of its proper divisors (6358423392).

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

2535579648 is an frugal number, since it uses more digits than its factorization.

2535579648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 29 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The square root of 2535579648 is about 50354.5394974475. The cubic root of 2535579648 is about 1363.6170383104.

The spelling of 2535579648 in words is "two billion, five hundred thirty-five million, five hundred seventy-nine thousand, six hundred forty-eight".