2147456256480 has 144 divisors (see below), whose sum is σ = 7396682804784. Its totient is φ = 567303045120.

The previous prime is 2147456256427. The next prime is 2147456256497. The reversal of 2147456256480 is 846526547412.

2147456256480 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 4 + 5 + 625 + 6 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2147456256480² (a number of 25 digits) contains 22 as substring.

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, 6814561 + ... + 7122720.

It is an arithmetic number, because the mean of its divisors is an integer number (51365852811).

Almost surely, 2^{2147456256480} is an apocalyptic number.

2147456256480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2147456256480 is an abundant number, since it is smaller than the sum of its proper divisors (5249226548304).

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

2147456256480 is a wasteful number, since it uses less digits than its factorization.

2147456256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13937409 (or 13937398 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 2147456256480 in words is "two trillion, one hundred forty-seven billion, four hundred fifty-six million, two hundred fifty-six thousand, four hundred eighty".