2696773968 has 180 divisors, whose sum is σ = 9104485728. Its totient is φ = 729855360.

The previous prime is 2696773967. The next prime is 2696773993. The reversal of 2696773968 is 8693776962.

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 (2696773967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 360183 + ... + 367593.

Almost surely, 2^2696773968 is an apocalyptic number.

2696773968 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 2696773968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4552242864).

2696773968 is an abundant number, since it is smaller than the sum of its proper divisors (6407711760).

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

2696773968 is a wasteful number, since it uses less digits than its factorization.

2696773968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7470 (or 7442 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The square root of 2696773968 is about 51930.4724415251. The cubic root of 2696773968 is about 1391.9218396463.

The spelling of 2696773968 in words is "two billion, six hundred ninety-six million, seven hundred seventy-three thousand, nine hundred sixty-eight".