2412991920 has 80 divisors (see below), whose sum is σ = 7500091392. Its totient is φ = 641760000.

The previous prime is 2412991877. The next prime is 2412991937. The reversal of 2412991920 is 291992142.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78795 + ... + 105045.

Almost surely, 2^2412991920 is an apocalyptic number.

2412991920 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 2412991920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750045696).

2412991920 is an abundant number, since it is smaller than the sum of its proper divisors (5087099472).

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

2412991920 is a wasteful number, since it uses less digits than its factorization.

2412991920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26650 (or 26644 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 2412991920 is about 49122.2141194796. The cubic root of 2412991920 is about 1341.2774481664.

The spelling of 2412991920 in words is "two billion, four hundred twelve million, nine hundred ninety-one thousand, nine hundred twenty".