2134466040 has 192 divisors, whose sum is σ = 7420608000. Its totient is φ = 481130496.

The previous prime is 2134466039. The next prime is 2134466051. The reversal of 2134466040 is 406644312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2134465989 and 2134466007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10725861 + ... + 10726059.

It is an arithmetic number, because the mean of its divisors is an integer number (38649000).

Almost surely, 2^2134466040 is an apocalyptic number.

2134466040 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 2134466040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710304000).

2134466040 is an abundant number, since it is smaller than the sum of its proper divisors (5286141960).

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

2134466040 is a wasteful number, since it uses less digits than its factorization.

2134466040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2134466040 is about 46200.2818173223. The cubic root of 2134466040 is about 1287.5469758836.

The spelling of 2134466040 in words is "two billion, one hundred thirty-four million, four hundred sixty-six thousand, forty".