2149971102720 has 1320 divisors, whose sum is σ = 9019809421920. Its totient is φ = 488268103680.

The previous prime is 2149971102703. The next prime is 2149971102757. The reversal of 2149971102720 is 272011799412.

It is a happy number.

2149971102720 is a `hidden beast` number, since 2 + 1 + 499 + 7 + 110 + 27 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4897428261 + ... + 4897428699.

It is an arithmetic number, because the mean of its divisors is an integer number (6833188956).

Almost surely, 2^{2149971102720} is an apocalyptic number.

2149971102720 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 2149971102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509904710960).

2149971102720 is an abundant number, since it is smaller than the sum of its proper divisors (6869838319200).

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

2149971102720 is a wasteful number, since it uses less digits than its factorization.

2149971102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 2149971102720 in words is "two trillion, one hundred forty-nine billion, nine hundred seventy-one million, one hundred two thousand, seven hundred twenty".