2642647824 has 240 divisors, whose sum is σ = 8189475840. Its totient is φ = 791838720.

The previous prime is 2642647811. The next prime is 2642647853. The reversal of 2642647824 is 4287462462.

It is a self number, because there is not a number n which added to its sum of digits gives 2642647824.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7360957 + ... + 7361315.

It is an arithmetic number, because the mean of its divisors is an integer number (34122816).

Almost surely, 2^2642647824 is an apocalyptic number.

2642647824 is a gapful number since it is divisible by the number (24) 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 2642647824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920).

2642647824 is an abundant number, since it is smaller than the sum of its proper divisors (5546828016).

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

2642647824 is a wasteful number, since it uses less digits than its factorization.

2642647824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 509 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 2642647824 is about 51406.6904595112. The cubic root of 2642647824 is about 1382.5465518258.

The spelling of 2642647824 in words is "two billion, six hundred forty-two million, six hundred forty-seven thousand, eight hundred twenty-four".