2030400234 has 48 divisors (see below), whose sum is σ = 4525583400. Its totient is φ = 657417600.

The previous prime is 2030400193. The next prime is 2030400247. The reversal of 2030400234 is 4320040302.

2030400234 is a `hidden beast` number, since 2 + 0 + 30 + 400 + 234 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1875323025 + 155077209 = 43305^2 + 12453^2 .

It is a super-2 number, since 2×2030400234² = 8245050220454509512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 464692 + ... + 469040.

Almost surely, 2^2030400234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030400234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262791700).

2030400234 is an abundant number, since it is smaller than the sum of its proper divisors (2495183166).

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

2030400234 is a wasteful number, since it uses less digits than its factorization.

2030400234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2030400234 is about 45059.9626497848. The cubic root of 2030400234 is about 1266.2726253393.

Adding to 2030400234 its reverse (4320040302), we get a palindrome (6350440536).

It can be divided in two parts, 20304002 and 34, that added together give a square (20304036 = 4506²).

The spelling of 2030400234 in words is "two billion, thirty million, four hundred thousand, two hundred thirty-four".