2642537600 has 96 divisors (see below), whose sum is σ = 6651488340. Its totient is φ = 1037004800.

The previous prime is 2642537509. The next prime is 2642537603. The reversal of 2642537600 is 67352462.

It can be written as a sum of positive squares in 6 ways, for example, as 988976704 + 1653560896 = 31448^2 + 40664^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2642537603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161810 + ... + 177390.

Almost surely, 2^2642537600 is an apocalyptic number.

2642537600 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 2642537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325744170).

2642537600 is an abundant number, since it is smaller than the sum of its proper divisors (4008950740).

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

2642537600 is a wasteful number, since it uses less digits than its factorization.

2642537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15658 (or 15641 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 2642537600 is about 51405.6183699798. The cubic root of 2642537600 is about 1382.5273296996.

The spelling of 2642537600 in words is "two billion, six hundred forty-two million, five hundred thirty-seven thousand, six hundred".