2866829664 has 96 divisors (see below), whose sum is σ = 7868254464. Its totient is φ = 912243200.

The previous prime is 2866829653. The next prime is 2866829689. The reversal of 2866829664 is 4669286682.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 1507114 + ... + 1509014.

It is an arithmetic number, because the mean of its divisors is an integer number (81960984).

Almost surely, 2^2866829664 is an apocalyptic number.

2866829664 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 2866829664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934127232).

2866829664 is an abundant number, since it is smaller than the sum of its proper divisors (5001424800).

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

2866829664 is a wasteful number, since it uses less digits than its factorization.

2866829664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2620 (or 2612 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 57.

The square root of 2866829664 is about 53542.7834913352. The cubic root of 2866829664 is about 1420.5852351962.

The spelling of 2866829664 in words is "two billion, eight hundred sixty-six million, eight hundred twenty-nine thousand, six hundred sixty-four".