2114007440 has 40 divisors (see below), whose sum is σ = 4919235000. Its totient is φ = 844886016.

The previous prime is 2114007433. The next prime is 2114007451. The reversal of 2114007440 is 447004112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2421136 + 2111586304 = 1556^2 + 45952^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89342 + ... + 110498.

It is an arithmetic number, because the mean of its divisors is an integer number (122980875).

Almost surely, 2^2114007440 is an apocalyptic number.

2114007440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114007440 is an abundant number, since it is smaller than the sum of its proper divisors (2805227560).

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

2114007440 is a wasteful number, since it uses less digits than its factorization.

2114007440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22419 (or 22413 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2114007440 is about 45978.3366380299. The cubic root of 2114007440 is about 1283.4201015526.

The spelling of 2114007440 in words is "two billion, one hundred fourteen million, seven thousand, four hundred forty".