2715120 has 100 divisors (see below), whose sum is σ = 9452520. Its totient is φ = 722304.

The previous prime is 2715113. The next prime is 2715161. The reversal of 2715120 is 215172.

It is a super-2 number, since 2×2715120² = 14743753228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2715093 and 2715102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6271 + ... + 6689.

2^2715120 is an apocalyptic number.

2715120 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 2715120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726260).

2715120 is an abundant number, since it is smaller than the sum of its proper divisors (6737400).

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

2715120 is a wasteful number, since it uses less digits than its factorization.

2715120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2715120 is about 1647.7621187538. The cubic root of 2715120 is about 139.5071102862.

The spelling of 2715120 in words is "two million, seven hundred fifteen thousand, one hundred twenty".