2114332440 has 128 divisors (see below), whose sum is σ = 7106814720. Its totient is φ = 498700800.

The previous prime is 2114332393. The next prime is 2114332447. The reversal of 2114332440 is 442334112.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2114332440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114332447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27195 + ... + 70485.

It is an arithmetic number, because the mean of its divisors is an integer number (55521990).

Almost surely, 2^2114332440 is an apocalyptic number.

2114332440 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 2114332440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553407360).

2114332440 is an abundant number, since it is smaller than the sum of its proper divisors (4992482280).

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

2114332440 is a wasteful number, since it uses less digits than its factorization.

2114332440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43353 (or 43349 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2114332440 is about 45981.8707753393. The cubic root of 2114332440 is about 1283.4858676661.

Adding to 2114332440 its reverse (442334112), we get a palindrome (2556666552).

The spelling of 2114332440 in words is "two billion, one hundred fourteen million, three hundred thirty-two thousand, four hundred forty".