2630166405120 has 448 divisors, whose sum is σ = 9673702776000. Its totient is φ = 677184012288.

The previous prime is 2630166405107. The next prime is 2630166405131. The reversal of 2630166405120 is 215046610362.

2630166405120 is a `hidden beast` number, since 2 + 6 + 3 + 0 + 1 + 6 + 640 + 5 + 1 + 2 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32030676 + ... + 32112684.

Almost surely, 2^{2630166405120} is an apocalyptic number.

2630166405120 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 2630166405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836851388000).

2630166405120 is an abundant number, since it is smaller than the sum of its proper divisors (7043536370880).

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

2630166405120 is an equidigital number, since it uses as much as digits as its factorization.

2630166405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82078 (or 82048 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2630166405120 in words is "two trillion, six hundred thirty billion, one hundred sixty-six million, four hundred five thousand, one hundred twenty".