2140404000 has 384 divisors, whose sum is σ = 8136640512. Its totient is φ = 481766400.

The previous prime is 2140403983. The next prime is 2140404041. The reversal of 2140404000 is 4040412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6971847 + ... + 6972153.

It is an arithmetic number, because the mean of its divisors is an integer number (21189168).

Almost surely, 2^2140404000 is an apocalyptic number.

2140404000 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 2140404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068320256).

2140404000 is an abundant number, since it is smaller than the sum of its proper divisors (5996236512).

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

2140404000 is a wasteful number, since it uses less digits than its factorization.

2140404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2140404000 is about 46264.5004295950. The cubic root of 2140404000 is about 1288.7398306065.

Adding to 2140404000 its reverse (4040412), we get a palindrome (2144444412).

The spelling of 2140404000 in words is "two billion, one hundred forty million, four hundred four thousand".