2100146531760 has 640 divisors, whose sum is σ = 7827570432000. Its totient is φ = 522090344448.

The previous prime is 2100146531729. The next prime is 2100146531771. The reversal of 2100146531760 is 671356410012.

2100146531760 is a `hidden beast` number, since 2 + 10 + 0 + 1 + 46 + 531 + 76 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 318248941 + ... + 318255539.

It is an arithmetic number, because the mean of its divisors is an integer number (12230578800).

Almost surely, 2^{2100146531760} is an apocalyptic number.

2100146531760 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 2100146531760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913785216000).

2100146531760 is an abundant number, since it is smaller than the sum of its proper divisors (5727423900240).

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

2100146531760 is a wasteful number, since it uses less digits than its factorization.

2100146531760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6757 (or 6733 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 2100146531760 in words is "two trillion, one hundred billion, one hundred forty-six million, five hundred thirty-one thousand, seven hundred sixty".