2140067000 has 128 divisors (see below), whose sum is σ = 5173122240. Its totient is φ = 828172800.

The previous prime is 2140066997. The next prime is 2140067003. The reversal of 2140067000 is 7600412.

It is an interprime number because it is at equal distance from previous prime (2140066997) and next prime (2140067003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140067003) 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 31 ways as a sum of consecutive naturals, for example, 6750842 + ... + 6751158.

Almost surely, 2^2140067000 is an apocalyptic number.

2140067000 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 2140067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586561120).

2140067000 is an abundant number, since it is smaller than the sum of its proper divisors (3033055240).

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

2140067000 is a wasteful number, since it uses less digits than its factorization.

2140067000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 2140067000 is about 46260.8581848629. The cubic root of 2140067000 is about 1288.6721910210.

Adding to 2140067000 its reverse (7600412), we get a palindrome (2147667412).

The spelling of 2140067000 in words is "two billion, one hundred forty million, sixty-seven thousand".