2536116352 has 256 divisors, whose sum is σ = 6873984000. Its totient is φ = 901877760.

The previous prime is 2536116347. The next prime is 2536116391.

2536116352 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5430423 + ... + 5430889.

It is an arithmetic number, because the mean of its divisors is an integer number (26851500).

Almost surely, 2^2536116352 is an apocalyptic number.

2536116352 is a gapful number since it is divisible by the number (22) 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 2536116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436992000).

2536116352 is an abundant number, since it is smaller than the sum of its proper divisors (4337867648).

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

2536116352 is a wasteful number, since it uses less digits than its factorization.

2536116352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 535 counting only the distinct ones).

The product of its digits is 32400, while the sum is 34.

The square root of 2536116352 is about 50359.8684668656. The cubic root of 2536116352 is about 1363.7132434113.

The spelling of 2536116352 in words is "two billion, five hundred thirty-six million, one hundred sixteen thousand, three hundred fifty-two".