2134172040 has 512 divisors, whose sum is σ = 8728473600. Its totient is φ = 403107840.

The previous prime is 2134172039. The next prime is 2134172059. The reversal of 2134172040 is 402714312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2134172040.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13092999 + ... + 13093161.

It is an arithmetic number, because the mean of its divisors is an integer number (17047800).

Almost surely, 2^2134172040 is an apocalyptic number.

2134172040 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 2134172040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364236800).

2134172040 is an abundant number, since it is smaller than the sum of its proper divisors (6594301560).

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

2134172040 is a wasteful number, since it uses less digits than its factorization.

2134172040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2134172040 is about 46197.0999089770. The cubic root of 2134172040 is about 1287.4878578677.

Adding to 2134172040 its reverse (402714312), we get a palindrome (2536886352).

The spelling of 2134172040 in words is "two billion, one hundred thirty-four million, one hundred seventy-two thousand, forty".