2414040264 has 24 divisors (see below), whose sum is σ = 6538025910. Its totient is φ = 804680064.

The previous prime is 2414040227. The next prime is 2414040281. The reversal of 2414040264 is 4620404142.

It is a happy number.

2414040264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2387104164 + 26936100 = 48858^2 + 5190^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16764097 + ... + 16764240.

Almost surely, 2^2414040264 is an apocalyptic number.

2414040264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2414040264 is an abundant number, since it is smaller than the sum of its proper divisors (4123985646).

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

2414040264 is a wasteful number, since it uses less digits than its factorization.

2414040264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33528349 (or 33528342 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2414040264 is about 49132.8837338091. The cubic root of 2414040264 is about 1341.4716630149.

The spelling of 2414040264 in words is "two billion, four hundred fourteen million, forty thousand, two hundred sixty-four".