2640537600 has 144 divisors (see below), whose sum is σ = 8729753760. Its totient is φ = 704102400.

The previous prime is 2640537587. The next prime is 2640537617. The reversal of 2640537600 is 67350462.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145005 + ... + 162195.

It is an arithmetic number, because the mean of its divisors is an integer number (60623290).

Almost surely, 2^2640537600 is an apocalyptic number.

2640537600 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 2640537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364876880).

2640537600 is an abundant number, since it is smaller than the sum of its proper divisors (6089216160).

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

2640537600 is a wasteful number, since it uses less digits than its factorization.

2640537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17226 (or 17201 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 2640537600 is about 51386.1615612608. The cubic root of 2640537600 is about 1382.1784538655.

The spelling of 2640537600 in words is "two billion, six hundred forty million, five hundred thirty-seven thousand, six hundred".