2799940 has 72 divisors (see below), whose sum is σ = 7038360. Its totient is φ = 929280.

The previous prime is 2799919. The next prime is 2799941. The reversal of 2799940 is 499972.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 2795584 = 66^2 + 1672^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2799893 and 2799902.

It is not an unprimeable number, because it can be changed into a prime (2799941) 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, 31416 + ... + 31504.

It is an arithmetic number, because the mean of its divisors is an integer number (97755).

2^2799940 is an apocalyptic number.

2799940 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 2799940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519180).

2799940 is an abundant number, since it is smaller than the sum of its proper divisors (4238420).

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

2799940 is a wasteful number, since it uses less digits than its factorization.

2799940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 2799940 is about 1673.3021245430. The cubic root of 2799940 is about 140.9449678771.

Subtracting from 2799940 its reverse (499972), we obtain a cube (2299968 = 132³).

The spelling of 2799940 in words is "two million, seven hundred ninety-nine thousand, nine hundred forty".