2642581320 has 192 divisors, whose sum is σ = 8790318720. Its totient is φ = 634208256.

The previous prime is 2642581309. The next prime is 2642581321. The reversal of 2642581320 is 231852462.

It is a hoax number, since the sum of its digits (33) 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 (2642581321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795984 + ... + 799296.

It is an arithmetic number, because the mean of its divisors is an integer number (45782910).

Almost surely, 2^2642581320 is an apocalyptic number.

2642581320 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 2642581320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4395159360).

2642581320 is an abundant number, since it is smaller than the sum of its proper divisors (6147737400).

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

2642581320 is a wasteful number, since it uses less digits than its factorization.

2642581320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2642581320 is about 51406.0436135675. The cubic root of 2642581320 is about 1382.5349541590.

The spelling of 2642581320 in words is "two billion, six hundred forty-two million, five hundred eighty-one thousand, three hundred twenty".