2172479400 has 384 divisors, whose sum is σ = 9211910400. Its totient is φ = 458265600.

The previous prime is 2172479377. The next prime is 2172479417. The reversal of 2172479400 is 49742712.

2172479400 is a `hidden beast` number, since 2 + 1 + 7 + 247 + 9 + 400 = 666.

2172479400 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489190 + ... + 493610.

It is an arithmetic number, because the mean of its divisors is an integer number (23989350).

Almost surely, 2^2172479400 is an apocalyptic number.

2172479400 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 2172479400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605955200).

2172479400 is an abundant number, since it is smaller than the sum of its proper divisors (7039431000).

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

2172479400 is a wasteful number, since it uses less digits than its factorization.

2172479400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2172479400 is about 46609.8637629419. The cubic root of 2172479400 is about 1295.1454843683.

It can be divided in two parts, 21724 and 79400, that added together give a square (101124 = 318²).

The spelling of 2172479400 in words is "two billion, one hundred seventy-two million, four hundred seventy-nine thousand, four hundred".