2792258544 has 80 divisors (see below), whose sum is σ = 7721827200. Its totient is φ = 866803968.

The previous prime is 2792258543. The next prime is 2792258569. The reversal of 2792258544 is 4458522972.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2792258493 and 2792258502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2792258543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27862 + ... + 79754.

It is an arithmetic number, because the mean of its divisors is an integer number (96522840).

Almost surely, 2^2792258544 is an apocalyptic number.

2792258544 is a gapful number since it is divisible by the number (24) 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 2792258544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860913600).

2792258544 is an abundant number, since it is smaller than the sum of its proper divisors (4929568656).

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

2792258544 is a wasteful number, since it uses less digits than its factorization.

2792258544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51982 (or 51976 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 2792258544 is about 52841.8257065367. The cubic root of 2792258544 is about 1408.1595866591.

The spelling of 2792258544 in words is "two billion, seven hundred ninety-two million, two hundred fifty-eight thousand, five hundred forty-four".