2012390016 has 384 divisors, whose sum is σ = 7065172800. Its totient is φ = 501645312.

The previous prime is 2012389961. The next prime is 2012390041. The reversal of 2012390016 is 6100932102.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4647336 + ... + 4647768.

Almost surely, 2^2012390016 is an apocalyptic number.

2012390016 is a gapful number since it is divisible by the number (26) 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 2012390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532586400).

2012390016 is an abundant number, since it is smaller than the sum of its proper divisors (5052782784).

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

2012390016 is a wasteful number, since it uses less digits than its factorization.

2012390016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2012390016 is about 44859.6702618287. The cubic root of 2012390016 is about 1262.5174360367.

The spelling of 2012390016 in words is "two billion, twelve million, three hundred ninety thousand, sixteen".