2290114944 has 240 divisors, whose sum is σ = 7385576220. Its totient is φ = 704111616.

The previous prime is 2290114907. The next prime is 2290114979. The reversal of 2290114944 is 4494110922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2290114899 and 2290114908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1751539 + ... + 1752845.

Almost surely, 2^2290114944 is an apocalyptic number.

2290114944 is a gapful number since it is divisible by the number (24) 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 2290114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692788110).

2290114944 is an abundant number, since it is smaller than the sum of its proper divisors (5095461276).

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

2290114944 is a wasteful number, since it uses less digits than its factorization.

2290114944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2290114944 is about 47855.1454286788. The cubic root of 2290114944 is about 1318.1123431786.

The spelling of 2290114944 in words is "two billion, two hundred ninety million, one hundred fourteen thousand, nine hundred forty-four".