2240121600 has 162 divisors, whose sum is σ = 8009146236. Its totient is φ = 597350400.

The previous prime is 2240121571. The next prime is 2240121601. The reversal of 2240121600 is 61210422.

2240121600 is a `hidden beast` number, since 2 + 2 + 40 + 1 + 21 + 600 = 666.

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 (2240121601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 38155 + ... + 77045.

Almost surely, 2^2240121600 is an apocalyptic number.

2240121600 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 2240121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004573118).

2240121600 is an abundant number, since it is smaller than the sum of its proper divisors (5769024636).

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

2240121600 is a wasteful number, since it uses less digits than its factorization.

2240121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38923 (or 38901 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2240121600 is about 47329.9228818303. The cubic root of 2240121600 is about 1308.4501999365.

The spelling of 2240121600 in words is "two billion, two hundred forty million, one hundred twenty-one thousand, six hundred".