2240120400 has 120 divisors (see below), whose sum is σ = 8201004864. Its totient is φ = 512025600.

The previous prime is 2240120369. The next prime is 2240120401. The reversal of 2240120400 is 40210422.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2240120400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240120401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124941 + ... + 141740.

Almost surely, 2^2240120400 is an apocalyptic number.

2240120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240120400 is an abundant number, since it is smaller than the sum of its proper divisors (5960884464).

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

2240120400 is a wasteful number, since it uses less digits than its factorization.

2240120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266709 (or 266698 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2240120400 is about 47329.9102048588. The cubic root of 2240120400 is about 1308.4499662973.

Adding to 2240120400 its reverse (40210422), we get a palindrome (2280330822).

The spelling of 2240120400 in words is "two billion, two hundred forty million, one hundred twenty thousand, four hundred".