2899769664 has 224 divisors, whose sum is σ = 8895283200. Its totient is φ = 824463360.

The previous prime is 2899769651. The next prime is 2899769699. The reversal of 2899769664 is 4669679982.

2899769664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 2899769595 and 2899769604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5095972 + ... + 5096540.

Almost surely, 2^2899769664 is an apocalyptic number.

2899769664 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 2899769664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447641600).

2899769664 is an abundant number, since it is smaller than the sum of its proper divisors (5995513536).

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

2899769664 is a wasteful number, since it uses less digits than its factorization.

2899769664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 731 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 66.

The square root of 2899769664 is about 53849.5094128071. The cubic root of 2899769664 is about 1426.0053910768.

The spelling of 2899769664 in words is "two billion, eight hundred ninety-nine million, seven hundred sixty-nine thousand, six hundred sixty-four".