2046424600 has 144 divisors (see below), whose sum is σ = 5287005360. Its totient is φ = 736032000.

The previous prime is 2046424579. The next prime is 2046424613. The reversal of 2046424600 is 64246402.

It is a super-4 number, since 4×2046424600⁴ (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2492190 + ... + 2493010.

It is an arithmetic number, because the mean of its divisors is an integer number (36715315).

Almost surely, 2^2046424600 is an apocalyptic number.

2046424600 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 2046424600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643502680).

2046424600 is an abundant number, since it is smaller than the sum of its proper divisors (3240580760).

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

2046424600 is a wasteful number, since it uses less digits than its factorization.

2046424600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 2046424600 is about 45237.4247719739. The cubic root of 2046424600 is about 1269.5951341362.

The spelling of 2046424600 in words is "two billion, forty-six million, four hundred twenty-four thousand, six hundred".