2623163840 has 168 divisors, whose sum is σ = 7055303136. Its totient is φ = 927590400.

The previous prime is 2623163783. The next prime is 2623163857. The reversal of 2623163840 is 483613262.

It is a super-3 number, since 3×2623163840³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2623163840.

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, 1431725 + ... + 1433555.

It is an arithmetic number, because the mean of its divisors is an integer number (41995852).

Almost surely, 2^2623163840 is an apocalyptic number.

2623163840 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 2623163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527651568).

2623163840 is an abundant number, since it is smaller than the sum of its proper divisors (4432139296).

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

2623163840 is a wasteful number, since it uses less digits than its factorization.

2623163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 2623163840 is about 51216.8316083687. The cubic root of 2623163840 is about 1379.1403734071.

The spelling of 2623163840 in words is "two billion, six hundred twenty-three million, one hundred sixty-three thousand, eight hundred forty".