2265981120 has 336 divisors, whose sum is σ = 8687165760. Its totient is φ = 538288128.

The previous prime is 2265981103. The next prime is 2265981163. The reversal of 2265981120 is 211895622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084717 + ... + 1086803.

It is an arithmetic number, because the mean of its divisors is an integer number (25854660).

Almost surely, 2^2265981120 is an apocalyptic number.

2265981120 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 2265981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343582880).

2265981120 is an abundant number, since it is smaller than the sum of its proper divisors (6421184640).

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

2265981120 is a wasteful number, since it uses less digits than its factorization.

2265981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2265981120 is about 47602.3226324094. The cubic root of 2265981120 is about 1313.4657795143.

The spelling of 2265981120 in words is "two billion, two hundred sixty-five million, nine hundred eighty-one thousand, one hundred twenty".