2259390240 has 96 divisors (see below), whose sum is σ = 7907880960. Its totient is φ = 602502912.

The previous prime is 2259390197. The next prime is 2259390241. The reversal of 2259390240 is 420939522.

2259390240 is a `hidden beast` number, since 2 + 25 + 9 + 390 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2259390195 and 2259390204.

It is not an unprimeable number, because it can be changed into a prime (2259390241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257184 + ... + 265823.

It is an arithmetic number, because the mean of its divisors is an integer number (82373760).

Almost surely, 2^2259390240 is an apocalyptic number.

2259390240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2259390240 is an abundant number, since it is smaller than the sum of its proper divisors (5648490720).

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

2259390240 is a wasteful number, since it uses less digits than its factorization.

2259390240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523031 (or 523017 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2259390240 is about 47533.0436643815. The cubic root of 2259390240 is about 1312.1910848492.

The spelling of 2259390240 in words is "two billion, two hundred fifty-nine million, three hundred ninety thousand, two hundred forty".