2114040000 has 280 divisors, whose sum is σ = 7109724160. Its totient is φ = 554112000.

The previous prime is 2114039987. The next prime is 2114040001. The reversal of 2114040000 is 404112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2114040001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9479889 + ... + 9480111.

It is an arithmetic number, because the mean of its divisors is an integer number (25391872).

Almost surely, 2^2114040000 is an apocalyptic number.

2114040000 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 2114040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554862080).

2114040000 is an abundant number, since it is smaller than the sum of its proper divisors (4995684160).

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

2114040000 is an equidigital number, since it uses as much as digits as its factorization.

2114040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2114040000 is about 45978.6907164613. The cubic root of 2114040000 is about 1283.4266906092.

Adding to 2114040000 its reverse (404112), we get a palindrome (2114444112).

The spelling of 2114040000 in words is "two billion, one hundred fourteen million, forty thousand".