2114352240 has 480 divisors, whose sum is σ = 8861861376. Its totient is φ = 404951040.

The previous prime is 2114352223. The next prime is 2114352301. The reversal of 2114352240 is 422534112.

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 2114352240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3122782 + ... + 3123458.

Almost surely, 2^2114352240 is an apocalyptic number.

2114352240 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 2114352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4430930688).

2114352240 is an abundant number, since it is smaller than the sum of its proper divisors (6747509136).

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

2114352240 is a wasteful number, since it uses less digits than its factorization.

2114352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2114352240 is about 45982.0860770801. The cubic root of 2114352240 is about 1283.4898741223.

Adding to 2114352240 its reverse (422534112), we get a palindrome (2536886352).

The spelling of 2114352240 in words is "two billion, one hundred fourteen million, three hundred fifty-two thousand, two hundred forty".