2149153344 has 224 divisors, whose sum is σ = 7040880000. Its totient is φ = 638281728.

The previous prime is 2149153333. The next prime is 2149153397. The reversal of 2149153344 is 4433519412.

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

It is a junction number, because it is equal to n+sod(n) for n = 2149153299 and 2149153308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 649807 + ... + 653105.

It is an arithmetic number, because the mean of its divisors is an integer number (31432500).

Almost surely, 2^2149153344 is an apocalyptic number.

2149153344 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 2149153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520440000).

2149153344 is an abundant number, since it is smaller than the sum of its proper divisors (4891726656).

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

2149153344 is a wasteful number, since it uses less digits than its factorization.

2149153344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3346 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 2149153344 is about 46358.9618520519. The cubic root of 2149153344 is about 1290.4934402179.

The spelling of 2149153344 in words is "two billion, one hundred forty-nine million, one hundred fifty-three thousand, three hundred forty-four".