2617160140 has 96 divisors (see below), whose sum is σ = 6421451904. Its totient is φ = 877393920.

The previous prime is 2617160131. The next prime is 2617160153. The reversal of 2617160140 is 410617162.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2617160099 and 2617160108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3865482 + ... + 3866158.

It is an arithmetic number, because the mean of its divisors is an integer number (66890124).

Almost surely, 2^2617160140 is an apocalyptic number.

2617160140 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 2617160140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210725952).

2617160140 is an abundant number, since it is smaller than the sum of its proper divisors (3804291764).

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

2617160140 is a wasteful number, since it uses less digits than its factorization.

2617160140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 2617160140 is about 51158.1874190241. The cubic root of 2617160140 is about 1378.0874121171.

The spelling of 2617160140 in words is "two billion, six hundred seventeen million, one hundred sixty thousand, one hundred forty".