2690208768 has 352 divisors, whose sum is σ = 8319532032. Its totient is φ = 766771200.

The previous prime is 2690208757. The next prime is 2690208791. The reversal of 2690208768 is 8678020962.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 50758630 + ... + 50758682.

Almost surely, 2^2690208768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2690208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159766016).

2690208768 is an abundant number, since it is smaller than the sum of its proper divisors (5629323264).

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

2690208768 is a wasteful number, since it uses less digits than its factorization.

2690208768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2690208768 is about 51867.2224820262. Note that the first 3 decimals coincide. The cubic root of 2690208768 is about 1390.7913937885.

The spelling of 2690208768 in words is "two billion, six hundred ninety million, two hundred eight thousand, seven hundred sixty-eight".