2779920 has 240 divisors, whose sum is σ = 11374272. Its totient is φ = 622080.

The previous prime is 2779877. The next prime is 2779939. The reversal of 2779920 is 299772.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213834 + ... + 213846.

2^2779920 is an apocalyptic number.

2779920 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 2779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136).

2779920 is an abundant number, since it is smaller than the sum of its proper divisors (8594352).

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

2779920 is a wasteful number, since it uses less digits than its factorization.

2779920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 2779920 is about 1667.3092094750. The cubic root of 2779920 is about 140.6082380021.

The spelling of 2779920 in words is "two million, seven hundred seventy-nine thousand, nine hundred twenty".