2290861440 has 640 divisors, whose sum is σ = 9597139200. Its totient is φ = 509939712.

The previous prime is 2290861439. The next prime is 2290861457. The reversal of 2290861440 is 441680922.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2290861440² = 10496092274557747200, which contains 22 as substring.

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 = 2290861395 and 2290861404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21409867 + ... + 21409973.

It is an arithmetic number, because the mean of its divisors is an integer number (14995530).

Almost surely, 2^2290861440 is an apocalyptic number.

2290861440 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 2290861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798569600).

2290861440 is an abundant number, since it is smaller than the sum of its proper divisors (7306277760).

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

2290861440 is a wasteful number, since it uses less digits than its factorization.

2290861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2290861440 is about 47862.9443306615. The cubic root of 2290861440 is about 1318.2555468638.

It can be divided in two parts, 22908 and 61440, that added together give a palindrome (84348).

The spelling of 2290861440 in words is "two billion, two hundred ninety million, eight hundred sixty-one thousand, four hundred forty".