2241566400 has 168 divisors, whose sum is σ = 7377434064. Its totient is φ = 595865600.

The previous prime is 2241566387. The next prime is 2241566413. The reversal of 2241566400 is 46651422.

It is an interprime number because it is at equal distance from previous prime (2241566387) and next prime (2241566413).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2212294 + ... + 2213306.

It is an arithmetic number, because the mean of its divisors is an integer number (43913298).

Almost surely, 2^2241566400 is an apocalyptic number.

2241566400 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 2241566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688717032).

2241566400 is an abundant number, since it is smaller than the sum of its proper divisors (5135867664).

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

2241566400 is a wasteful number, since it uses less digits than its factorization.

2241566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2241566400 is about 47345.1834931495. The cubic root of 2241566400 is about 1308.7314410040.

The spelling of 2241566400 in words is "two billion, two hundred forty-one million, five hundred sixty-six thousand, four hundred".