2148115200 has 432 divisors, whose sum is σ = 8844600576. Its totient is φ = 446054400.

The previous prime is 2148115187. The next prime is 2148115217. The reversal of 2148115200 is 25118412.

It is a super-2 number, since 2×2148115200² = 9228797824942080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1477674 + ... + 1479126.

Almost surely, 2^2148115200 is an apocalyptic number.

2148115200 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 2148115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422300288).

2148115200 is an abundant number, since it is smaller than the sum of its proper divisors (6696485376).

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

2148115200 is a wasteful number, since it uses less digits than its factorization.

2148115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2148115200 is about 46347.7637000967. The cubic root of 2148115200 is about 1290.2856167045.

The spelling of 2148115200 in words is "two billion, one hundred forty-eight million, one hundred fifteen thousand, two hundred".