2715942240 has 288 divisors, whose sum is σ = 10438751232. Its totient is φ = 637056000.

The previous prime is 2715942179. The next prime is 2715942241. The reversal of 2715942240 is 422495172.

2715942240 is a `hidden beast` number, since 2 + 7 + 1 + 594 + 22 + 40 = 666.

2715942240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2715942195 and 2715942204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2715942241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488275 + ... + 493805.

It is an arithmetic number, because the mean of its divisors is an integer number (36245664).

Almost surely, 2^2715942240 is an apocalyptic number.

2715942240 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 2715942240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219375616).

2715942240 is an abundant number, since it is smaller than the sum of its proper divisors (7722808992).

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

2715942240 is a wasteful number, since it uses less digits than its factorization.

2715942240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5594 (or 5583 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2715942240 is about 52114.7027238955. The cubic root of 2715942240 is about 1395.2119152375.

The spelling of 2715942240 in words is "two billion, seven hundred fifteen million, nine hundred forty-two thousand, two hundred forty".