2149355520 has 624 divisors, whose sum is σ = 8633969280. Its totient is φ = 506068992.

The previous prime is 2149355513. The next prime is 2149355539. The reversal of 2149355520 is 255539412.

It is a happy number.

2149355520 is a `hidden beast` number, since 2 + 14 + 93 + 5 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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 47 ways as a sum of consecutive naturals, for example, 93450229 + ... + 93450251.

Almost surely, 2^2149355520 is an apocalyptic number.

2149355520 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 2149355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316984640).

2149355520 is an abundant number, since it is smaller than the sum of its proper divisors (6484613760).

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

2149355520 is a wasteful number, since it uses less digits than its factorization.

2149355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 2149355520 is about 46361.1423500327. The cubic root of 2149355520 is about 1290.5339055514.

The spelling of 2149355520 in words is "two billion, one hundred forty-nine million, three hundred fifty-five thousand, five hundred twenty".