2715868782240 has 192 divisors, whose sum is σ = 8717310201600. Its totient is φ = 710619070464.

The previous prime is 2715868782197. The next prime is 2715868782257. The reversal of 2715868782240 is 422878685172.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 5136976 + ... + 5640944.

It is an arithmetic number, because the mean of its divisors is an integer number (45402657300).

Almost surely, 2^{2715868782240} is an apocalyptic number.

2715868782240 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 2715868782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358655100800).

2715868782240 is an abundant number, since it is smaller than the sum of its proper divisors (6001441419360).

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

2715868782240 is a wasteful number, since it uses less digits than its factorization.

2715868782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504199 (or 504191 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 60.

The spelling of 2715868782240 in words is "two trillion, seven hundred fifteen billion, eight hundred sixty-eight million, seven hundred eighty-two thousand, two hundred forty".