2715460240 has 80 divisors (see below), whose sum is σ = 6875006400. Its totient is φ = 993517056.

The previous prime is 2715460193. The next prime is 2715460273. The reversal of 2715460240 is 420645172.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13279 + ... + 74881.

It is an arithmetic number, because the mean of its divisors is an integer number (85937580).

Almost surely, 2^2715460240 is an apocalyptic number.

2715460240 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 2715460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437503200).

2715460240 is an abundant number, since it is smaller than the sum of its proper divisors (4159546160).

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

2715460240 is a wasteful number, since it uses less digits than its factorization.

2715460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61664 (or 61658 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 2715460240 is about 52110.0781039522. The cubic root of 2715460240 is about 1395.1293739719.

The spelling of 2715460240 in words is "two billion, seven hundred fifteen million, four hundred sixty thousand, two hundred forty".