2612256144160 has 96 divisors (see below), whose sum is σ = 6646693343472. Its totient is φ = 964451205120.

The previous prime is 2612256144089. The next prime is 2612256144217. The reversal of 2612256144160 is 614416522162.

It can be written as a sum of positive squares in 8 ways, for example, as 1453886115984 + 1158370028176 = 1205772^2 + 1076276^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32193240 + ... + 32274280.

Almost surely, 2^{2612256144160} is an apocalyptic number.

2612256144160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2612256144160 is an abundant number, since it is smaller than the sum of its proper divisors (4034437199312).

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

2612256144160 is a wasteful number, since it uses less digits than its factorization.

2612256144160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96566 (or 96558 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 2612256144160 in words is "two trillion, six hundred twelve billion, two hundred fifty-six million, one hundred forty-four thousand, one hundred sixty".