2241534000 has 320 divisors, whose sum is σ = 7762360320. Its totient is φ = 555033600.

The previous prime is 2241533993. The next prime is 2241534007. The reversal of 2241534000 is 4351422.

It is an interprime number because it is at equal distance from previous prime (2241533993) and next prime (2241534007).

It is not an unprimeable number, because it can be changed into a prime (2241534007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5105781 + ... + 5106219.

It is an arithmetic number, because the mean of its divisors is an integer number (24257376).

Almost surely, 2^2241534000 is an apocalyptic number.

2241534000 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 2241534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881180160).

2241534000 is an abundant number, since it is smaller than the sum of its proper divisors (5520826320).

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

2241534000 is a wasteful number, since it uses less digits than its factorization.

2241534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2241534000 is about 47344.8413240556. The cubic root of 2241534000 is about 1308.7251354278.

Adding to 2241534000 its reverse (4351422), we get a palindrome (2245885422).

The spelling of 2241534000 in words is "two billion, two hundred forty-one million, five hundred thirty-four thousand".