2140727040 has 324 divisors, whose sum is σ = 7880245464. Its totient is φ = 536444928.

The previous prime is 2140727033. The next prime is 2140727059. The reversal of 2140727040 is 407270412.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2140726995 and 2140727013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3328959 + ... + 3329601.

Almost surely, 2^2140727040 is an apocalyptic number.

2140727040 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 2140727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940122732).

2140727040 is an abundant number, since it is smaller than the sum of its proper divisors (5739518424).

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

2140727040 is a wasteful number, since it uses less digits than its factorization.

2140727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 2140727040 is about 46267.9915276209. The cubic root of 2140727040 is about 1288.8046616030.

Adding to 2140727040 its reverse (407270412), we get a palindrome (2547997452).

The spelling of 2140727040 in words is "two billion, one hundred forty million, seven hundred twenty-seven thousand, forty".