2259434000 has 40 divisors (see below), whose sum is σ = 5463316248. Its totient is φ = 903772800.

The previous prime is 2259433999. The next prime is 2259434029. The reversal of 2259434000 is 4349522.

It can be written as a sum of positive squares in 4 ways, for example, as 260628736 + 1998805264 = 16144^2 + 44708^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 562859 + ... + 566858.

Almost surely, 2^2259434000 is an apocalyptic number.

2259434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2259434000 is an abundant number, since it is smaller than the sum of its proper divisors (3203882248).

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

2259434000 is a wasteful number, since it uses less digits than its factorization.

2259434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129740 (or 1129724 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2259434000 is about 47533.5039735133. The cubic root of 2259434000 is about 1312.1995563253.

The spelling of 2259434000 in words is "two billion, two hundred fifty-nine million, four hundred thirty-four thousand".