2900561664 has 540 divisors, whose sum is σ = 10660404328. Its totient is φ = 695439360.

The previous prime is 2900561659. The next prime is 2900561707. The reversal of 2900561664 is 4661650092.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 223120122 + ... + 223120134.

Almost surely, 2^2900561664 is an apocalyptic number.

2900561664 is a gapful number since it is divisible by the number (24) 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 2900561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330202164).

2900561664 is an abundant number, since it is smaller than the sum of its proper divisors (7759842664).

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

2900561664 is an equidigital number, since it uses as much as digits as its factorization.

2900561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2900561664 is about 53856.8627381878. The cubic root of 2900561664 is about 1426.1352052338.

Multiplying 2900561664 by its sum of digits (39), we get a square (113121904896 = 336336²).

2900561664 divided by its sum of digits (39) gives a square (74373376 = 8624²).

The spelling of 2900561664 in words is "two billion, nine hundred million, five hundred sixty-one thousand, six hundred sixty-four".