2131282084480 has 64 divisors (see below), whose sum is σ = 5095570293000. Its totient is φ = 852433514496.

The previous prime is 2131282084423. The next prime is 2131282084487. The reversal of 2131282084480 is 844802821312.

It can be written as a sum of positive squares in 4 ways, for example, as 1962532017216 + 168750067264 = 1400904^2 + 410792^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2131282084487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6986014 + ... + 7284706.

Almost surely, 2^{2131282084480} is an apocalyptic number.

2131282084480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131282084480 is an abundant number, since it is smaller than the sum of its proper divisors (2964288208520).

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

2131282084480 is a wasteful number, since it uses less digits than its factorization.

2131282084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309861 (or 309849 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The spelling of 2131282084480 in words is "two trillion, one hundred thirty-one billion, two hundred eighty-two million, eighty-four thousand, four hundred eighty".