2642856160 has 96 divisors (see below), whose sum is σ = 7281489600. Its totient is φ = 906103296.

The previous prime is 2642856149. The next prime is 2642856197. The reversal of 2642856160 is 616582462.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30802 + ... + 78958.

It is an arithmetic number, because the mean of its divisors is an integer number (75848850).

Almost surely, 2^2642856160 is an apocalyptic number.

2642856160 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 2642856160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640744800).

2642856160 is an abundant number, since it is smaller than the sum of its proper divisors (4638633440).

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

2642856160 is an equidigital number, since it uses as much as digits as its factorization.

2642856160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48193 (or 48171 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 2642856160 is about 51408.7167706022. The cubic root of 2642856160 is about 1382.5828823888.

The spelling of 2642856160 in words is "two billion, six hundred forty-two million, eight hundred fifty-six thousand, one hundred sixty".