2623097280 has 224 divisors, whose sum is σ = 8914522176. Its totient is φ = 651165696.

The previous prime is 2623097251. The next prime is 2623097291. The reversal of 2623097280 is 827903262.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1582212 + ... + 1583868.

It is an arithmetic number, because the mean of its divisors is an integer number (39796974).

Almost surely, 2^2623097280 is an apocalyptic number.

2623097280 is a gapful number since it is divisible by the number (20) 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 2623097280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457261088).

2623097280 is an abundant number, since it is smaller than the sum of its proper divisors (6291424896).

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

2623097280 is a wasteful number, since it uses less digits than its factorization.

2623097280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2623097280 is about 51216.1818178591. The cubic root of 2623097280 is about 1379.1287085671.

The spelling of 2623097280 in words is "two billion, six hundred twenty-three million, ninety-seven thousand, two hundred eighty".