2128291200 has 1152 divisors, whose sum is σ = 9944363520. Its totient is φ = 437944320.

The previous prime is 2128291169. The next prime is 2128291219. The reversal of 2128291200 is 21928212.

2128291200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92534389 + ... + 92534411.

It is an arithmetic number, because the mean of its divisors is an integer number (8632260).

Almost surely, 2^2128291200 is an apocalyptic number.

2128291200 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 2128291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4972181760).

2128291200 is an abundant number, since it is smaller than the sum of its proper divisors (7816072320).

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

2128291200 is a wasteful number, since it uses less digits than its factorization.

2128291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2128291200 is about 46133.4065510016. The cubic root of 2128291200 is about 1286.3041864481.

The spelling of 2128291200 in words is "two billion, one hundred twenty-eight million, two hundred ninety-one thousand, two hundred".