2240400100 has 72 divisors (see below), whose sum is σ = 5169044160. Its totient is φ = 840977280.

The previous prime is 2240400091. The next prime is 2240400161. The reversal of 2240400100 is 10040422.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112711 + ... + 131089.

It is an arithmetic number, because the mean of its divisors is an integer number (71792280).

Almost surely, 2^2240400100 is an apocalyptic number.

2240400100 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 2240400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584522080).

2240400100 is an abundant number, since it is smaller than the sum of its proper divisors (2928644060).

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

2240400100 is a wasteful number, since it uses less digits than its factorization.

2240400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18469 (or 18462 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2240400100 is about 47332.8649037854. The cubic root of 2240400100 is about 1308.5044214395.

Adding to 2240400100 its reverse (10040422), we get a palindrome (2250440522).

The spelling of 2240400100 in words is "two billion, two hundred forty million, four hundred thousand, one hundred".