2617120 has 48 divisors (see below), whose sum is σ = 6749568. Its totient is φ = 951040.

The previous prime is 2617103. The next prime is 2617129. The reversal of 2617120 is 217162.

It is not an unprimeable number, because it can be changed into a prime (2617129) 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, 1017 + ... + 2503.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

2^2617120 is an apocalyptic number.

2617120 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 2617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374784).

2617120 is an abundant number, since it is smaller than the sum of its proper divisors (4132448).

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

2617120 is a wasteful number, since it uses less digits than its factorization.

2617120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2617120 is about 1617.7515260385. The cubic root of 2617120 is about 137.8080366731.

It can be divided in two parts, 261 and 7120, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 2617120 in words is "two million, six hundred seventeen thousand, one hundred twenty".