2140749000 has 640 divisors, whose sum is σ = 8562153600. Its totient is φ = 494553600.

The previous prime is 2140748993. The next prime is 2140749043. The reversal of 2140749000 is 9470412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20006947 + ... + 20007053.

It is an arithmetic number, because the mean of its divisors is an integer number (13378365).

Almost surely, 2^2140749000 is an apocalyptic number.

2140749000 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 2140749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4281076800).

2140749000 is an abundant number, since it is smaller than the sum of its proper divisors (6421404600).

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

2140749000 is a wasteful number, since it uses less digits than its factorization.

2140749000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2140749000 is about 46268.2288401015. The cubic root of 2140749000 is about 1288.8090685254.

It can be divided in two parts, 21407 and 49000, that added together give a palindrome (70407).

The spelling of 2140749000 in words is "two billion, one hundred forty million, seven hundred forty-nine thousand".