2642459760 has 120 divisors (see below), whose sum is σ = 9203004720. Its totient is φ = 704650752.

The previous prime is 2642459723. The next prime is 2642459761. The reversal of 2642459760 is 679542462.

2642459760 is a `hidden beast` number, since 264 + 245 + 97 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642459761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48525 + ... + 87404.

It is an arithmetic number, because the mean of its divisors is an integer number (76691706).

Almost surely, 2^2642459760 is an apocalyptic number.

2642459760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2642459760 is an abundant number, since it is smaller than the sum of its proper divisors (6560544960).

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

2642459760 is a wasteful number, since it uses less digits than its factorization.

2642459760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135957 (or 135939 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2642459760 is about 51404.8612487185. The cubic root of 2642459760 is about 1382.5137547450.

The spelling of 2642459760 in words is "two billion, six hundred forty-two million, four hundred fifty-nine thousand, seven hundred sixty".