2536108640 has 144 divisors (see below), whose sum is σ = 6584258016. Its totient is φ = 922521600.

The previous prime is 2536108573. The next prime is 2536108643. The reversal of 2536108640 is 468016352.

It is a self number, because there is not a number n which added to its sum of digits gives 2536108640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2536108643) 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, 1919180 + ... + 1920500.

It is an arithmetic number, because the mean of its divisors is an integer number (45724014).

Almost surely, 2^2536108640 is an apocalyptic number.

2536108640 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 2536108640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292129008).

2536108640 is an abundant number, since it is smaller than the sum of its proper divisors (4048149376).

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

2536108640 is a wasteful number, since it uses less digits than its factorization.

2536108640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 2536108640 is about 50359.7918979020. The cubic root of 2536108640 is about 1363.7118611183.

The spelling of 2536108640 in words is "two billion, five hundred thirty-six million, one hundred eight thousand, six hundred forty".