2799920 has 40 divisors (see below), whose sum is σ = 6725760. Its totient is φ = 1082880.

The previous prime is 2799919. The next prime is 2799941. The reversal of 2799920 is 299972.

2799920 = T₂₆₉ + T₂₇₀ + ... + T₃₃₀.

It is a tau number, because it is divible by the number of its divisors (40).

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, 1916 + ... + 3044.

It is an arithmetic number, because the mean of its divisors is an integer number (168144).

2^2799920 is an apocalyptic number.

2799920 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 2799920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362880).

2799920 is an abundant number, since it is smaller than the sum of its proper divisors (3925840).

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

2799920 is a wasteful number, since it uses less digits than its factorization.

2799920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 2799920 is about 1673.2961483252. The cubic root of 2799920 is about 140.9446322859.

The spelling of 2799920 in words is "two million, seven hundred ninety-nine thousand, nine hundred twenty".