2421072576 has 168 divisors, whose sum is σ = 7502249664. Its totient is φ = 742072320.

The previous prime is 2421072557. The next prime is 2421072581. The reversal of 2421072576 is 6752701242.

It is a happy number.

2421072576 is a `hidden beast` number, since 2 + 4 + 2 + 10 + 72 + 576 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2421072576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2747656 + ... + 2748536.

It is an arithmetic number, because the mean of its divisors is an integer number (44656248).

Almost surely, 2^2421072576 is an apocalyptic number.

2421072576 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 2421072576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751124832).

2421072576 is an abundant number, since it is smaller than the sum of its proper divisors (5081177088).

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

2421072576 is a wasteful number, since it uses less digits than its factorization.

2421072576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 2421072576 is about 49204.3959011794. The cubic root of 2421072576 is about 1342.7730085726.

The spelling of 2421072576 in words is "two billion, four hundred twenty-one million, seventy-two thousand, five hundred seventy-six".