2779680 has 48 divisors (see below), whose sum is σ = 8757504. Its totient is φ = 741120.

The previous prime is 2779669. The next prime is 2779703. The reversal of 2779680 is 869772.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2416 + ... + 3375.

It is an arithmetic number, because the mean of its divisors is an integer number (182448).

2^2779680 is an apocalyptic number.

2779680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2779680 is an abundant number, since it is smaller than the sum of its proper divisors (5977824).

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

2779680 is a wasteful number, since it uses less digits than its factorization.

2779680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 2779680 is about 1667.2372356686. The cubic root of 2779680 is about 140.6041914890.

The spelling of 2779680 in words is "two million, seven hundred seventy-nine thousand, six hundred eighty".