2416890000 has 400 divisors, whose sum is σ = 9455073408. Its totient is φ = 519168000.

The previous prime is 2416889989. The next prime is 2416890001. The reversal of 2416890000 is 986142.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2416890000.

It is not an unprimeable number, because it can be changed into a prime (2416890001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3569662 + ... + 3570338.

Almost surely, 2^2416890000 is an apocalyptic number.

2416890000 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 2416890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727536704).

2416890000 is an abundant number, since it is smaller than the sum of its proper divisors (7038183408).

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

2416890000 is a wasteful number, since it uses less digits than its factorization.

2416890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2416890000 is about 49161.8754727685. The cubic root of 2416890000 is about 1341.9993174023. Note that the first 3 decimals are identical.

The spelling of 2416890000 in words is "two billion, four hundred sixteen million, eight hundred ninety thousand".