2414000384 has 36 divisors (see below), whose sum is σ = 4832402316. Its totient is φ = 1203535872.

The previous prime is 2414000383. The next prime is 2414000389. The reversal of 2414000384 is 4830004142.

It can be written as a sum of positive squares in 2 ways, for example, as 1831840000 + 582160384 = 42800^2 + 24128^2 .

It is not an unprimeable number, because it can be changed into a prime (2414000383) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77012 + ... + 103724.

Almost surely, 2^2414000384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2416201158).

2414000384 is an abundant number, since it is smaller than the sum of its proper divisors (2418401932).

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

2414000384 is an equidigital number, since it uses as much as digits as its factorization.

2414000384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27082 (or 27068 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 2414000384 is about 49132.4778939552. The cubic root of 2414000384 is about 1341.4642759268.

The spelling of 2414000384 in words is "two billion, four hundred fourteen million, three hundred eighty-four", and thus it is an aban number.