2414020000 has 240 divisors, whose sum is σ = 6962421312. Its totient is φ = 806400000.

The previous prime is 2414019989. The next prime is 2414020027. The reversal of 2414020000 is 204142.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6019800 + ... + 6020200.

Almost surely, 2^2414020000 is an apocalyptic number.

2414020000 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 2414020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481210656).

2414020000 is an abundant number, since it is smaller than the sum of its proper divisors (4548401312).

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

2414020000 is an equidigital number, since it uses as much as digits as its factorization.

2414020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2414020000 is about 49132.6775171067. The cubic root of 2414020000 is about 1341.4679094656.

Adding to 2414020000 its reverse (204142), we get a palindrome (2414224142).

The spelling of 2414020000 in words is "two billion, four hundred fourteen million, twenty thousand".