2001846564 has 27 divisors (see below), whose sum is σ = 5060901937. Its totient is φ = 667192704.

The previous prime is 2001846533. The next prime is 2001846571. The reversal of 2001846564 is 4656481002.

The square root of 2001846564 is 44742.

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

It can be written as a sum of positive squares in only one way, i.e., 603684900 + 1398161664 = 24570^2 + 37392^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 264724 + ... + 272180.

Almost surely, 2^2001846564 is an apocalyptic number.

2001846564 is the 44742-nd square number.

It is an amenable number.

2001846564 is an abundant number, since it is smaller than the sum of its proper divisors (3059055373).

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

2001846564 is an frugal number, since it uses more digits than its factorization.

2001846564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14924 (or 7462 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 2001846564 is about 1260.3086847628.

Multiplying 2001846564 by its sum of digits (36), we get a square (72066476304 = 268452²).

2001846564 divided by its sum of digits (36) gives a square (55606849 = 7457²).

The spelling of 2001846564 in words is "two billion, one million, eight hundred forty-six thousand, five hundred sixty-four".