2269837890 has 160 divisors (see below), whose sum is σ = 6391036080. Its totient is φ = 577414656.

The previous prime is 2269837847. The next prime is 2269837897. The reversal of 2269837890 is 987389622.

It is a happy number.

2269837890 is a `hidden beast` number, since 2 + 269 + 8 + 378 + 9 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1156748121 + 1113089769 = 34011^2 + 33363^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2269837897) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1587696 + ... + 1589124.

Almost surely, 2^2269837890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269837890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195518040).

2269837890 is an abundant number, since it is smaller than the sum of its proper divisors (4121198190).

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

2269837890 is a wasteful number, since it uses less digits than its factorization.

2269837890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 2269837890 is about 47642.8157228349. The cubic root of 2269837890 is about 1314.2105436067.

The spelling of 2269837890 in words is "two billion, two hundred sixty-nine million, eight hundred thirty-seven thousand, eight hundred ninety".