2104742630160 has 120 divisors (see below), whose sum is σ = 7069231015704. Its totient is φ = 561200885760.

The previous prime is 2104742630131. The next prime is 2104742630167. The reversal of 2104742630160 is 610362474012.

2104742630160 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 7 + 4 + 2 + 630 + 16 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 366901564176 + 1737841065984 = 605724^2 + 1318272^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2104742630167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6347854 + ... + 6671186.

Almost surely, 2^{2104742630160} is an apocalyptic number.

2104742630160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2104742630160 is an abundant number, since it is smaller than the sum of its proper divisors (4964488385544).

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

2104742630160 is a wasteful number, since it uses less digits than its factorization.

2104742630160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332393 (or 332384 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2104742630160 in words is "two trillion, one hundred four billion, seven hundred forty-two million, six hundred thirty thousand, one hundred sixty".