2783333664 has 144 divisors (see below), whose sum is σ = 8236257120. Its totient is φ = 925888320.

The previous prime is 2783333633. The next prime is 2783333689. The reversal of 2783333664 is 4663333872.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5668459 + ... + 5668949.

It is an arithmetic number, because the mean of its divisors is an integer number (57196230).

Almost surely, 2^2783333664 is an apocalyptic number.

2783333664 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 2783333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118128560).

2783333664 is an abundant number, since it is smaller than the sum of its proper divisors (5452923456).

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

2783333664 is an frugal number, since it uses more digits than its factorization.

2783333664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 496 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The square root of 2783333664 is about 52757.3091049951. The cubic root of 2783333664 is about 1406.6576878752.

The spelling of 2783333664 in words is "two billion, seven hundred eighty-three million, three hundred thirty-three thousand, six hundred sixty-four".