2692820928 has 112 divisors (see below), whose sum is σ = 8362801664. Its totient is φ = 748569600.

The previous prime is 2692820917. The next prime is 2692820951. The reversal of 2692820928 is 8290282962.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22653 + ... + 76803.

It is an arithmetic number, because the mean of its divisors is an integer number (74667872).

Almost surely, 2^2692820928 is an apocalyptic number.

2692820928 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 2692820928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181400832).

2692820928 is an abundant number, since it is smaller than the sum of its proper divisors (5669980736).

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

2692820928 is a wasteful number, since it uses less digits than its factorization.

2692820928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54210 (or 54200 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 2692820928 is about 51892.3975934818. The cubic root of 2692820928 is about 1391.2413953482.

The spelling of 2692820928 in words is "two billion, six hundred ninety-two million, eight hundred twenty thousand, nine hundred twenty-eight".