2642669568 has 624 divisors, whose sum is σ = 10222368000. Its totient is φ = 650280960.

The previous prime is 2642669539. The next prime is 2642669581. The reversal of 2642669568 is 8659662462.

It is a happy number.

Its product of digits (7464960) is a multiple of the sum of its prime factors (81).

It is a congruent number.

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, 139087863 + ... + 139087881.

It is an arithmetic number, because the mean of its divisors is an integer number (16382000).

Almost surely, 2^2642669568 is an apocalyptic number.

2642669568 is a gapful number since it is divisible by the number (28) 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 2642669568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5111184000).

2642669568 is an abundant number, since it is smaller than the sum of its proper divisors (7579698432).

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

2642669568 is a wasteful number, since it uses less digits than its factorization.

2642669568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 2642669568 is about 51406.9019490574. The cubic root of 2642669568 is about 1382.5503437310.

The spelling of 2642669568 in words is "two billion, six hundred forty-two million, six hundred sixty-nine thousand, five hundred sixty-eight".