2172400506 has 64 divisors (see below), whose sum is σ = 4976611200. Its totient is φ = 702027648.

The previous prime is 2172400459. The next prime is 2172400519. The reversal of 2172400506 is 6050042712.

2172400506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2172400506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314700 + ... + 321528.

It is an arithmetic number, because the mean of its divisors is an integer number (77759550).

Almost surely, 2^2172400506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2172400506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488305600).

2172400506 is an abundant number, since it is smaller than the sum of its proper divisors (2804210694).

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

2172400506 is a wasteful number, since it uses less digits than its factorization.

2172400506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2172400506 is about 46609.0174322523. The cubic root of 2172400506 is about 1295.1298063608.

The spelling of 2172400506 in words is "two billion, one hundred seventy-two million, four hundred thousand, five hundred six".