2134823040 has 768 divisors, whose sum is σ = 9142398720. Its totient is φ = 465813504.

The previous prime is 2134823027. The next prime is 2134823063. The reversal of 2134823040 is 403284312.

It is a super-2 number, since 2×2134823040² = 9114938824229683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2134822995 and 2134823013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40279654 + ... + 40279706.

It is an arithmetic number, because the mean of its divisors is an integer number (11904165).

Almost surely, 2^2134823040 is an apocalyptic number.

2134823040 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 2134823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571199360).

2134823040 is an abundant number, since it is smaller than the sum of its proper divisors (7007575680).

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

2134823040 is an equidigital number, since it uses as much as digits as its factorization.

2134823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2134823040 is about 46204.1452685795. The cubic root of 2134823040 is about 1287.6187547482.

The spelling of 2134823040 in words is "two billion, one hundred thirty-four million, eight hundred twenty-three thousand, forty".