2414401000 has 64 divisors (see below), whose sum is σ = 6163335360. Its totient is φ = 877960000.

The previous prime is 2414400991. The next prime is 2414401001. The reversal of 2414401000 is 1044142.

It is not an unprimeable number, because it can be changed into a prime (2414401001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98746 + ... + 120745.

It is an arithmetic number, because the mean of its divisors is an integer number (96302115).

Almost surely, 2^2414401000 is an apocalyptic number.

2414401000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414401000 is an abundant number, since it is smaller than the sum of its proper divisors (3748934360).

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

2414401000 is a wasteful number, since it uses less digits than its factorization.

2414401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219523 (or 219509 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2414401000 is about 49136.5546207709. The cubic root of 2414401000 is about 1341.5384794950.

Adding to 2414401000 its reverse (1044142), we get a palindrome (2415445142).

The spelling of 2414401000 in words is "two billion, four hundred fourteen million, four hundred one thousand".