2122290240 has 224 divisors, whose sum is σ = 7733141760. Its totient is φ = 483065856.

The previous prime is 2122290221. The next prime is 2122290283. The reversal of 2122290240 is 420922212.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2122290240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2102856 + ... + 2103864.

Almost surely, 2^2122290240 is an apocalyptic number.

2122290240 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 2122290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866570880).

2122290240 is an abundant number, since it is smaller than the sum of its proper divisors (5610851520).

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

2122290240 is a wasteful number, since it uses less digits than its factorization.

2122290240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1339 counting only the distinct ones).

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

The square root of 2122290240 is about 46068.3214367530. The cubic root of 2122290240 is about 1285.0940878989.

The spelling of 2122290240 in words is "two billion, one hundred twenty-two million, two hundred ninety thousand, two hundred forty".