2642257664 has 108 divisors (see below), whose sum is σ = 5595143400. Its totient is φ = 1245100032.

The previous prime is 2642257663. The next prime is 2642257699. The reversal of 2642257664 is 4667522462.

It is a happy number.

2642257664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642257663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14761127 + ... + 14761305.

Almost surely, 2^2642257664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797571700).

2642257664 is an abundant number, since it is smaller than the sum of its proper divisors (2952885736).

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

2642257664 is a wasteful number, since it uses less digits than its factorization.

2642257664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 313 counting only the distinct ones).

The product of its digits is 967680, while the sum is 44.

The square root of 2642257664 is about 51402.8954826477. The cubic root of 2642257664 is about 1382.4785088443.

The spelling of 2642257664 in words is "two billion, six hundred forty-two million, two hundred fifty-seven thousand, six hundred sixty-four".