2149179984 has 720 divisors, whose sum is σ = 8335716480. Its totient is φ = 510935040.

The previous prime is 2149179973. The next prime is 2149180009. The reversal of 2149179984 is 4899719412.

2149179984 is a `hidden beast` number, since 2 + 1 + 491 + 79 + 9 + 84 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1306368) is a multiple of the sum of its prime divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 2149179984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52419004 + ... + 52419044.

It is an arithmetic number, because the mean of its divisors is an integer number (11577384).

Almost surely, 2^2149179984 is an apocalyptic number.

2149179984 is a gapful number since it is divisible by the number (24) 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 2149179984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4167858240).

2149179984 is an abundant number, since it is smaller than the sum of its proper divisors (6186536496).

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

2149179984 is a wasteful number, since it uses less digits than its factorization.

2149179984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 2149179984 is about 46359.2491742479. The cubic root of 2149179984 is about 1290.4987723336.

It can be divided in two parts, 21491 and 79984, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 2149179984 in words is "two billion, one hundred forty-nine million, one hundred seventy-nine thousand, nine hundred eighty-four".