2130375948480 has 672 divisors, whose sum is σ = 8483466700800. Its totient is φ = 486222372864.

The previous prime is 2130375948443. The next prime is 2130375948553. The reversal of 2130375948480 is 848495730312.

It is a happy number.

2130375948480 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 3 + 7 + 594 + 8 + 48 + 0 = 666.

It is a super-2 number, since 2×2130375948480² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33402061 + ... + 33465779.

It is an arithmetic number, because the mean of its divisors is an integer number (12624206400).

Almost surely, 2^{2130375948480} is an apocalyptic number.

2130375948480 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 2130375948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241733350400).

2130375948480 is an abundant number, since it is smaller than the sum of its proper divisors (6353090752320).

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

2130375948480 is a wasteful number, since it uses less digits than its factorization.

2130375948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63821 (or 63808 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 2130375948480 in words is "two trillion, one hundred thirty billion, three hundred seventy-five million, nine hundred forty-eight thousand, four hundred eighty".