2120375840 has 96 divisors (see below), whose sum is σ = 5488560000. Its totient is φ = 767692800.

The previous prime is 2120375833. The next prime is 2120375843. The reversal of 2120375840 is 485730212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2120375797 and 2120375806.

It is not an unprimeable number, because it can be changed into a prime (2120375843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421661 + ... + 426659.

It is an arithmetic number, because the mean of its divisors is an integer number (57172500).

Almost surely, 2^2120375840 is an apocalyptic number.

2120375840 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 2120375840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744280000).

2120375840 is an abundant number, since it is smaller than the sum of its proper divisors (3368184160).

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

2120375840 is a wasteful number, since it uses less digits than its factorization.

2120375840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 2120375840 is about 46047.5389136054. The cubic root of 2120375840 is about 1284.7075676863.

The spelling of 2120375840 in words is "two billion, one hundred twenty million, three hundred seventy-five thousand, eight hundred forty".