2158801920 has 264 divisors, whose sum is σ = 8162125920. Its totient is φ = 523223040.

The previous prime is 2158801913. The next prime is 2158801921. The reversal of 2158801920 is 291088512.

It is a tau number, because it is divible by the number of its divisors (264).

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 (2158801921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504751 + ... + 509009.

Almost surely, 2^2158801920 is an apocalyptic number.

2158801920 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 2158801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081062960).

2158801920 is an abundant number, since it is smaller than the sum of its proper divisors (6003324000).

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

2158801920 is a wasteful number, since it uses less digits than its factorization.

2158801920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 2158801920 is about 46462.9090781023. The cubic root of 2158801920 is about 1292.4217711957.

The spelling of 2158801920 in words is "two billion, one hundred fifty-eight million, eight hundred one thousand, nine hundred twenty".