2104961607000 has 3072 divisors, whose sum is σ = 9861336576000. Its totient is φ = 404103168000.

The previous prime is 2104961606989. The next prime is 2104961607107. The reversal of 2104961607000 is 7061694012.

2104961607000 is a `hidden beast` number, since 2 + 1 + 0 + 49 + 6 + 1 + 607 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 51340526980 + ... + 51340527020.

It is an arithmetic number, because the mean of its divisors is an integer number (3210070500).

Almost surely, 2^{2104961607000} is an apocalyptic number.

2104961607000 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 2104961607000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4930668288000).

2104961607000 is an abundant number, since it is smaller than the sum of its proper divisors (7756374969000).

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

2104961607000 is a wasteful number, since it uses less digits than its factorization.

2104961607000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 2104961607000 in words is "two trillion, one hundred four billion, nine hundred sixty-one million, six hundred seven thousand".