2715940 has 24 divisors (see below), whose sum is σ = 5738040. Its totient is φ = 1079808.

The previous prime is 2715931. The next prime is 2715949. The reversal of 2715940 is 495172.

It is a happy number.

2715940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2715931) and next prime (2715949).

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 1747684 = 984^2 + 1322^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2715899 and 2715908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2715949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4284 + ... + 4876.

It is an arithmetic number, because the mean of its divisors is an integer number (239085).

2^2715940 is an apocalyptic number.

2715940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2715940 is an abundant number, since it is smaller than the sum of its proper divisors (3022100).

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

2715940 is a wasteful number, since it uses less digits than its factorization.

2715940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 2715940 is about 1648.0109222939. The cubic root of 2715940 is about 139.5211531666.

It can be divided in two parts, 2715 and 940, that added together give a triangular number (3655 = T₈₅).

The spelling of 2715940 in words is "two million, seven hundred fifteen thousand, nine hundred forty".