2692138968 has 96 divisors (see below), whose sum is σ = 7417135440. Its totient is φ = 881971200.

The previous prime is 2692138957. The next prime is 2692138973. The reversal of 2692138968 is 8698312962.

2692138968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2692138968² = 14495224446048210048, which contains 22 as substring.

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

It is a congruent number.

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, 1854643 + ... + 1856093.

Almost surely, 2^2692138968 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 2692138968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3708567720).

2692138968 is an abundant number, since it is smaller than the sum of its proper divisors (4724996472).

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

2692138968 is a wasteful number, since it uses less digits than its factorization.

2692138968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1882 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 2692138968 is about 51885.8262726922. The cubic root of 2692138968 is about 1391.1239409375.

The spelling of 2692138968 in words is "two billion, six hundred ninety-two million, one hundred thirty-eight thousand, nine hundred sixty-eight".