2642346960 has 80 divisors (see below), whose sum is σ = 8935945920. Its totient is φ = 640568320.

The previous prime is 2642346953. The next prime is 2642346983. The reversal of 2642346960 is 696432462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497805 + ... + 503084.

It is an arithmetic number, because the mean of its divisors is an integer number (111699324).

Almost surely, 2^2642346960 is an apocalyptic number.

2642346960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642346960 is an abundant number, since it is smaller than the sum of its proper divisors (6293598960).

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

2642346960 is a wasteful number, since it uses less digits than its factorization.

2642346960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000916 (or 1000910 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 2642346960 is about 51403.7640645119. The cubic root of 2642346960 is about 1382.4940824466.

The spelling of 2642346960 in words is "two billion, six hundred forty-two million, three hundred forty-six thousand, nine hundred sixty".