2266729920 has 840 divisors, whose sum is σ = 10254337632. Its totient is φ = 462827520.

The previous prime is 2266729903. The next prime is 2266729921. The reversal of 2266729920 is 299276622.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266729921) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73120305 + ... + 73120335.

Almost surely, 2^2266729920 is an apocalyptic number.

2266729920 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 2266729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127168816).

2266729920 is an abundant number, since it is smaller than the sum of its proper divisors (7987607712).

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

2266729920 is a wasteful number, since it uses less digits than its factorization.

2266729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2266729920 is about 47610.1871451898. The cubic root of 2266729920 is about 1313.6104430997.

The spelling of 2266729920 in words is "two billion, two hundred sixty-six million, seven hundred twenty-nine thousand, nine hundred twenty".