2140656000 has 512 divisors, whose sum is σ = 8493189120. Its totient is φ = 466329600.

The previous prime is 2140655983. The next prime is 2140656013. The reversal of 2140656000 is 6560412.

It is a super-2 number, since 2×2140656000² = 9164816220672000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7727862 + ... + 7728138.

It is an arithmetic number, because the mean of its divisors is an integer number (16588260).

Almost surely, 2^2140656000 is an apocalyptic number.

2140656000 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 2140656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246594560).

2140656000 is an abundant number, since it is smaller than the sum of its proper divisors (6352533120).

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

2140656000 is a wasteful number, since it uses less digits than its factorization.

2140656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2140656000 is about 46267.2238198922. The cubic root of 2140656000 is about 1288.7904051231.

The spelling of 2140656000 in words is "two billion, one hundred forty million, six hundred fifty-six thousand".