2140263972 has 240 divisors, whose sum is σ = 7043245440. Its totient is φ = 555128640.

The previous prime is 2140263959. The next prime is 2140263991. The reversal of 2140263972 is 2793620412.

2140263972 is a `hidden beast` number, since 2 + 14 + 0 + 2 + 639 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3018354 + ... + 3019062.

It is an arithmetic number, because the mean of its divisors is an integer number (29346856).

Almost surely, 2^2140263972 is an apocalyptic number.

2140263972 is a gapful number since it is divisible by the number (22) 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 2140263972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3521622720).

2140263972 is an abundant number, since it is smaller than the sum of its proper divisors (4902981468).

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

2140263972 is a wasteful number, since it uses less digits than its factorization.

2140263972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2140263972 is about 46262.9870630940. The cubic root of 2140263972 is about 1288.7117263178.

The spelling of 2140263972 in words is "two billion, one hundred forty million, two hundred sixty-three thousand, nine hundred seventy-two".