2240172400 has 120 divisors (see below), whose sum is σ = 5768675424. Its totient is φ = 833817600.

The previous prime is 2240172379. The next prime is 2240172401. The reversal of 2240172400 is 42710422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240172401) 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, 337110 + ... + 343690.

Almost surely, 2^2240172400 is an apocalyptic number.

2240172400 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 2240172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884337712).

2240172400 is an abundant number, since it is smaller than the sum of its proper divisors (3528503024).

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

2240172400 is a wasteful number, since it uses less digits than its factorization.

2240172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6659 (or 6648 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 2240172400 is about 47330.4595371733. The cubic root of 2240172400 is about 1308.4600905853.

Adding to 2240172400 its reverse (42710422), we get a palindrome (2282882822).

The spelling of 2240172400 in words is "two billion, two hundred forty million, one hundred seventy-two thousand, four hundred".