2021761296 has 75 divisors (see below), whose sum is σ = 5856252501. Its totient is φ = 673380864.

The previous prime is 2021761283. The next prime is 2021761297. The reversal of 2021761296 is 6921671202.

The square root of 2021761296 is 44964.

It is a perfect power (a square), and thus also a powerful number.

2021761296 is a `hidden beast` number, since 20 + 2 + 17 + 612 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 827367696 + 1194393600 = 28764^2 + 34560^2 .

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 2021761296.

It is not an unprimeable number, because it can be changed into a prime (2021761297) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1618080 + ... + 1619328.

Almost surely, 2^2021761296 is an apocalyptic number.

2021761296 is the 44964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021761296

2021761296 is an abundant number, since it is smaller than the sum of its proper divisors (3834491205).

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

2021761296 is an frugal number, since it uses more digits than its factorization.

2021761296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 2021761296 is about 1264.4741618222.

Multiplying 2021761296 by its sum of digits (36), we get a square (72783406656 = 269784²).

2021761296 divided by its sum of digits (36) gives a square (56160036 = 7494²).

The spelling of 2021761296 in words is "two billion, twenty-one million, seven hundred sixty-one thousand, two hundred ninety-six".