2021577903072 has 576 divisors, whose sum is σ = 7126895752704. Its totient is φ = 529310453760.

The previous prime is 2021577903013. The next prime is 2021577903089. The reversal of 2021577903072 is 2703097751202.

2021577903072 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 577 + 9 + 0 + 3 + 0 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3443914363 + ... + 3443914949.

It is an arithmetic number, because the mean of its divisors is an integer number (12373082904).

Almost surely, 2^{2021577903072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021577903072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563447876352).

2021577903072 is an abundant number, since it is smaller than the sum of its proper divisors (5105317849632).

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

2021577903072 is a wasteful number, since it uses less digits than its factorization.

2021577903072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 2021577903072 in words is "two trillion, twenty-one billion, five hundred seventy-seven million, nine hundred three thousand, seventy-two".