2140634304 has 210 divisors, whose sum is σ = 6585251244. Its totient is φ = 687536640.

The previous prime is 2140634303. The next prime is 2140634359. The reversal of 2140634304 is 4034360412.

2140634304 is a `hidden beast` number, since 21 + 4 + 0 + 634 + 3 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2140634303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4359499 + ... + 4359989.

Almost surely, 2^2140634304 is an apocalyptic number.

2140634304 is a gapful number since it is divisible by the number (24) 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 2140634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292625622).

2140634304 is an abundant number, since it is smaller than the sum of its proper divisors (4444616940).

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

2140634304 is an equidigital number, since it uses as much as digits as its factorization.

2140634304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 525 counting only the distinct ones).

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

The square root of 2140634304 is about 46266.9893552628. The cubic root of 2140634304 is about 1288.7860510543.

Adding to 2140634304 its reverse (4034360412), we get a palindrome (6174994716).

The spelling of 2140634304 in words is "two billion, one hundred forty million, six hundred thirty-four thousand, three hundred four".