2536516640 has 192 divisors, whose sum is σ = 7037549568. Its totient is φ = 846028800.

The previous prime is 2536516621. The next prime is 2536516651. The reversal of 2536516640 is 466156352.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2536516594 and 2536516603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9359705 + ... + 9359975.

It is an arithmetic number, because the mean of its divisors is an integer number (36653904).

Almost surely, 2^2536516640 is an apocalyptic number.

2536516640 is a gapful number since it is divisible by the number (20) 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 2536516640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518774784).

2536516640 is an abundant number, since it is smaller than the sum of its proper divisors (4501032928).

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

2536516640 is a wasteful number, since it uses less digits than its factorization.

2536516640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 2536516640 is about 50363.8425857281. The cubic root of 2536516640 is about 1363.7849868770.

The spelling of 2536516640 in words is "two billion, five hundred thirty-six million, five hundred sixteen thousand, six hundred forty".