2149368480 has 768 divisors, whose sum is σ = 9431976960. Its totient is φ = 445906944.

The previous prime is 2149368427. The next prime is 2149368491. The reversal of 2149368480 is 848639412.

It is a happy number.

2149368480 is a `hidden beast` number, since 2 + 1 + 493 + 6 + 84 + 80 = 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 127 ways as a sum of consecutive naturals, for example, 19020904 + ... + 19021016.

It is an arithmetic number, because the mean of its divisors is an integer number (12281220).

Almost surely, 2^2149368480 is an apocalyptic number.

2149368480 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 2149368480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715988480).

2149368480 is an abundant number, since it is smaller than the sum of its proper divisors (7282608480).

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

2149368480 is a wasteful number, since it uses less digits than its factorization.

2149368480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2149368480 is about 46361.2821220466. The cubic root of 2149368480 is about 1290.5364993965.

The spelling of 2149368480 in words is "two billion, one hundred forty-nine million, three hundred sixty-eight thousand, four hundred eighty".