2172020400 has 480 divisors, whose sum is σ = 8635161600. Its totient is φ = 514022400.

The previous prime is 2172020399. The next prime is 2172020407. The reversal of 2172020400 is 40202712.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2172020407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5583406 + ... + 5583794.

It is an arithmetic number, because the mean of its divisors is an integer number (17989920).

Almost surely, 2^2172020400 is an apocalyptic number.

2172020400 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 2172020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317580800).

2172020400 is an abundant number, since it is smaller than the sum of its proper divisors (6463141200).

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

2172020400 is a wasteful number, since it uses less digits than its factorization.

2172020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2172020400 is about 46604.9396523587. The cubic root of 2172020400 is about 1295.0542654521.

The spelling of 2172020400 in words is "two billion, one hundred seventy-two million, twenty thousand, four hundred".