2140274304 has 384 divisors, whose sum is σ = 7563504000. Its totient is φ = 567336960.

The previous prime is 2140274299. The next prime is 2140274309. The reversal of 2140274304 is 4034720412.

It is an interprime number because it is at equal distance from previous prime (2140274299) and next prime (2140274309).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2140274309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9346062 + ... + 9346290.

It is an arithmetic number, because the mean of its divisors is an integer number (19696625).

Almost surely, 2^2140274304 is an apocalyptic number.

2140274304 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 2140274304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781752000).

2140274304 is an abundant number, since it is smaller than the sum of its proper divisors (5423229696).

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

2140274304 is a wasteful number, since it uses less digits than its factorization.

2140274304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2140274304 is about 46263.0987289006. The cubic root of 2140274304 is about 1288.7138000414.

Adding to 2140274304 its reverse (4034720412), we get a palindrome (6174994716).

The spelling of 2140274304 in words is "two billion, one hundred forty million, two hundred seventy-four thousand, three hundred four".