2715459056640 has 1056 divisors, whose sum is σ = 10772963914752. Its totient is φ = 626393088000.

The previous prime is 2715459056627. The next prime is 2715459056641. The reversal of 2715459056640 is 466509545172.

2715459056640 is a `hidden beast` number, since 2 + 7 + 1 + 5 + 4 + 590 + 5 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2715459056641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 958508664 + ... + 958511496.

Almost surely, 2^{2715459056640} is an apocalyptic number.

2715459056640 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 2715459056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386481957376).

2715459056640 is an abundant number, since it is smaller than the sum of its proper divisors (8057504858112).

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

2715459056640 is a wasteful number, since it uses less digits than its factorization.

2715459056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2715459056640 in words is "two trillion, seven hundred fifteen billion, four hundred fifty-nine million, fifty-six thousand, six hundred forty".