2400134302134 has 64 divisors (see below), whose sum is σ = 5387933690880. Its totient is φ = 791906751360.

The previous prime is 2400134302117. The next prime is 2400134302147. The reversal of 2400134302134 is 4312034310042.

2400134302134 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 13 + 430 + 213 + 4 = 666.

2400134302134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2400134302098 and 2400134302107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11919639 + ... + 12119325.

It is an arithmetic number, because the mean of its divisors is an integer number (84186463920).

Almost surely, 2^{2400134302134} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400134302134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693966845440).

2400134302134 is an abundant number, since it is smaller than the sum of its proper divisors (2987799388746).

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

2400134302134 is a wasteful number, since it uses less digits than its factorization.

2400134302134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201962 (or 201956 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2400134302134 its reverse (4312034310042), we get a palindrome (6712168612176).

The spelling of 2400134302134 in words is "two trillion, four hundred billion, one hundred thirty-four million, three hundred two thousand, one hundred thirty-four".