2242149000 has 512 divisors, whose sum is σ = 8856207360. Its totient is φ = 459648000.

The previous prime is 2242148947. The next prime is 2242149031. The reversal of 2242149000 is 9412422.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11738905 + ... + 11739095.

It is an arithmetic number, because the mean of its divisors is an integer number (17297280).

Almost surely, 2^2242149000 is an apocalyptic number.

2242149000 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 2242149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428103680).

2242149000 is an abundant number, since it is smaller than the sum of its proper divisors (6614058360).

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

2242149000 is a wasteful number, since it uses less digits than its factorization.

2242149000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2242149000 is about 47351.3357784128. The cubic root of 2242149000 is about 1308.8448142371.

The spelling of 2242149000 in words is "two billion, two hundred forty-two million, one hundred forty-nine thousand".