2149249600 has 189 divisors, whose sum is σ = 5674488651. Its totient is φ = 801100800.

The previous prime is 2149249579. The next prime is 2149249637. The reversal of 2149249600 is 69429412.

2149249600 = 1³ + 2³ + ... + 304³.

It is a happy number.

The square root of 2149249600 is 46360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 989983296 + 1159266304 = 31464^2 + 34048^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2149249600.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35233570 + ... + 35233630.

Almost surely, 2^2149249600 is an apocalyptic number.

2149249600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2149249600 is the 46360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149249600

2149249600 is an abundant number, since it is smaller than the sum of its proper divisors (3525239051).

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

2149249600 is an equidigital number, since it uses as much as digits as its factorization.

2149249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The cubic root of 2149249600 is about 1290.5127060809.

The spelling of 2149249600 in words is "two billion, one hundred forty-nine million, two hundred forty-nine thousand, six hundred".