2158909200 has 720 divisors, whose sum is σ = 9402731520. Its totient is φ = 464693760.

The previous prime is 2158909199. The next prime is 2158909201. The reversal of 2158909200 is 29098512.

It is an interprime number because it is at equal distance from previous prime (2158909199) and next prime (2158909201).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158909201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12927517 + ... + 12927683.

Almost surely, 2^2158909200 is an apocalyptic number.

2158909200 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 2158909200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701365760).

2158909200 is an abundant number, since it is smaller than the sum of its proper divisors (7243822320).

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

2158909200 is a wasteful number, since it uses less digits than its factorization.

2158909200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 2158909200 is about 46464.0635330144. The cubic root of 2158909200 is about 1292.4431794762.

The spelling of 2158909200 in words is "two billion, one hundred fifty-eight million, nine hundred nine thousand, two hundred".