2761578960 has 80 divisors (see below), whose sum is σ = 9783885696. Its totient is φ = 631217664.

The previous prime is 2761578947. The next prime is 2761579001. The reversal of 2761578960 is 698751672.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820219 + ... + 823578.

Almost surely, 2^2761578960 is an apocalyptic number.

2761578960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2761578960 is an abundant number, since it is smaller than the sum of its proper divisors (7022306736).

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

2761578960 is a wasteful number, since it uses less digits than its factorization.

2761578960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643820 (or 1643814 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 2761578960 is about 52550.7274925857. The cubic root of 2761578960 is about 1402.9832575141.

The spelling of 2761578960 in words is "two billion, seven hundred sixty-one million, five hundred seventy-eight thousand, nine hundred sixty".