2114346240 has 180 divisors, whose sum is σ = 7565888484. Its totient is φ = 563798016.

The previous prime is 2114346229. The next prime is 2114346257. The reversal of 2114346240 is 426434112.

It is a happy number.

2114346240 is a `hidden beast` number, since 2 + 1 + 1 + 4 + 34 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 949625856 + 1164720384 = 30816^2 + 34128^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93484 + ... + 113876.

Almost surely, 2^2114346240 is an apocalyptic number.

2114346240 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 2114346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782944242).

2114346240 is an abundant number, since it is smaller than the sum of its proper divisors (5451542244).

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

2114346240 is an equidigital number, since it uses as much as digits as its factorization.

2114346240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20426 (or 20403 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2114346240 is about 45982.0208342348. The cubic root of 2114346240 is about 1283.4886600473.

The spelling of 2114346240 in words is "two billion, one hundred fourteen million, three hundred forty-six thousand, two hundred forty".