2692872072 has 48 divisors (see below), whose sum is σ = 7956215280. Its totient is φ = 816021600.

The previous prime is 2692872011. The next prime is 2692872073. The reversal of 2692872072 is 2702782962.

It is not an unprimeable number, because it can be changed into a prime (2692872073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1699254 + ... + 1700837.

It is an arithmetic number, because the mean of its divisors is an integer number (165754485).

Almost surely, 2^2692872072 is an apocalyptic number.

2692872072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2692872072 is an abundant number, since it is smaller than the sum of its proper divisors (5263343208).

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

2692872072 is a wasteful number, since it uses less digits than its factorization.

2692872072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400114 (or 3400107 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2692872072 is about 51892.8903800896. The cubic root of 2692872072 is about 1391.2502031129.

The spelling of 2692872072 in words is "two billion, six hundred ninety-two million, eight hundred seventy-two thousand, seventy-two".