2259293940 has 72 divisors (see below), whose sum is σ = 6859256040. Its totient is φ = 601945344.

The previous prime is 2259293929. The next prime is 2259293941. The reversal of 2259293940 is 493929522.

2259293940 is a `hidden beast` number, since 2 + 259 + 2 + 9 + 394 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 810882576 + 1448411364 = 28476^2 + 38058^2 .

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 (2259293941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224946 + ... + 234774.

It is an arithmetic number, because the mean of its divisors is an integer number (95267445).

Almost surely, 2^2259293940 is an apocalyptic number.

2259293940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2259293940 is an abundant number, since it is smaller than the sum of its proper divisors (4599962100).

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

2259293940 is a wasteful number, since it uses less digits than its factorization.

2259293940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121 (or 11116 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2259293940 is about 47532.0306740623. The cubic root of 2259293940 is about 1312.1724417961.

The spelling of 2259293940 in words is "two billion, two hundred fifty-nine million, two hundred ninety-three thousand, nine hundred forty".