2692968768 has 336 divisors, whose sum is σ = 9474890880. Its totient is φ = 742017024.

The previous prime is 2692968763. The next prime is 2692968787. The reversal of 2692968768 is 8678692962.

2692968768 is a `hidden beast` number, since 269 + 296 + 87 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2692968763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3156630 + ... + 3157482.

It is an arithmetic number, because the mean of its divisors is an integer number (28199080).

Almost surely, 2^2692968768 is an apocalyptic number.

2692968768 is a gapful number since it is divisible by the number (28) 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 2692968768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737445440).

2692968768 is an abundant number, since it is smaller than the sum of its proper divisors (6781922112).

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

2692968768 is an equidigital number, since it uses as much as digits as its factorization.

2692968768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 894 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The square root of 2692968768 is about 51893.8220600487. The cubic root of 2692968768 is about 1391.2668553112.

The spelling of 2692968768 in words is "two billion, six hundred ninety-two million, nine hundred sixty-eight thousand, seven hundred sixty-eight".