2446428600 has 576 divisors, whose sum is σ = 10793952000. Its totient is φ = 481075200.

The previous prime is 2446428583. The next prime is 2446428653. The reversal of 2446428600 is 68246442.

It is a happy number.

2446428600 is a `hidden beast` number, since 2 + 4 + 4 + 6 + 42 + 8 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2632936 + ... + 2633864.

It is an arithmetic number, because the mean of its divisors is an integer number (18739500).

Almost surely, 2^2446428600 is an apocalyptic number.

2446428600 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 2446428600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5396976000).

2446428600 is an abundant number, since it is smaller than the sum of its proper divisors (8347523400).

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

2446428600 is a wasteful number, since it uses less digits than its factorization.

2446428600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2446428600 is about 49461.3849381515. The cubic root of 2446428600 is about 1347.4443832509. Note that the first 3 decimals are identical.

The spelling of 2446428600 in words is "two billion, four hundred forty-six million, four hundred twenty-eight thousand, six hundred".