2535126984 has 320 divisors, whose sum is σ = 8245036800. Its totient is φ = 721115136.

The previous prime is 2535126983. The next prime is 2535127009. The reversal of 2535126984 is 4896215352.

2535126984 is a `hidden beast` number, since 2 + 53 + 512 + 6 + 9 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2535126983) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7522464 + ... + 7522800.

It is an arithmetic number, because the mean of its divisors is an integer number (25765740).

Almost surely, 2^2535126984 is an apocalyptic number.

2535126984 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 2535126984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122518400).

2535126984 is an abundant number, since it is smaller than the sum of its proper divisors (5709909816).

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

2535126984 is a wasteful number, since it uses less digits than its factorization.

2535126984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 421 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 2535126984 is about 50350.0445282822. The cubic root of 2535126984 is about 1363.5358869677.

The spelling of 2535126984 in words is "two billion, five hundred thirty-five million, one hundred twenty-six thousand, nine hundred eighty-four".