2269958880 has 576 divisors, whose sum is σ = 9128609280. Its totient is φ = 462827520.

The previous prime is 2269958879. The next prime is 2269958893. The reversal of 2269958880 is 888599622.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 2269958880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61350222 + ... + 61350258.

It is an arithmetic number, because the mean of its divisors is an integer number (15848280).

Almost surely, 2^2269958880 is an apocalyptic number.

2269958880 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 2269958880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4564304640).

2269958880 is an abundant number, since it is smaller than the sum of its proper divisors (6858650400).

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

2269958880 is a wasteful number, since it uses less digits than its factorization.

2269958880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The square root of 2269958880 is about 47644.0854671385. The cubic root of 2269958880 is about 1314.2338938070.

The spelling of 2269958880 in words is "two billion, two hundred sixty-nine million, nine hundred fifty-eight thousand, eight hundred eighty".