2290891680 has 768 divisors, whose sum is σ = 10241925120. Its totient is φ = 464486400.

The previous prime is 2290891643. The next prime is 2290891703. The reversal of 2290891680 is 861980922.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23617392 + ... + 23617488.

It is an arithmetic number, because the mean of its divisors is an integer number (13335840).

Almost surely, 2^2290891680 is an apocalyptic number.

2290891680 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 2290891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120962560).

2290891680 is an abundant number, since it is smaller than the sum of its proper divisors (7951033440).

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

2290891680 is a wasteful number, since it uses less digits than its factorization.

2290891680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 2290891680 is about 47863.2602316223. The cubic root of 2290891680 is about 1318.2613472833.

The spelling of 2290891680 in words is "two billion, two hundred ninety million, eight hundred ninety-one thousand, six hundred eighty".