2715402240 has 360 divisors, whose sum is σ = 9814371840. Its totient is φ = 693633024.

The previous prime is 2715402203. The next prime is 2715402257. The reversal of 2715402240 is 422045172.

2715402240 is a `hidden beast` number, since 2 + 7 + 15 + 402 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21381057 + ... + 21381183.

It is an arithmetic number, because the mean of its divisors is an integer number (27262144).

Almost surely, 2^2715402240 is an apocalyptic number.

2715402240 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 2715402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907185920).

2715402240 is an abundant number, since it is smaller than the sum of its proper divisors (7098969600).

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

2715402240 is a wasteful number, since it uses less digits than its factorization.

2715402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2715402240 is about 52109.5215867503. The cubic root of 2715402240 is about 1395.1194409620.

The spelling of 2715402240 in words is "two billion, seven hundred fifteen million, four hundred two thousand, two hundred forty".