2623005330 has 192 divisors, whose sum is σ = 7322192640. Its totient is φ = 599695360.

The previous prime is 2623005257. The next prime is 2623005349. The reversal of 2623005330 is 335003262.

2623005330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2623005330² = 13760313922416817800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2623005330.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7430434 + ... + 7430786.

It is an arithmetic number, because the mean of its divisors is an integer number (38136420).

Almost surely, 2^2623005330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2623005330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661096320).

2623005330 is an abundant number, since it is smaller than the sum of its proper divisors (4699187310).

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

2623005330 is a wasteful number, since it uses less digits than its factorization.

2623005330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 2623005330 is about 51215.2841444817. The cubic root of 2623005330 is about 1379.1125937287.

Adding to 2623005330 its reverse (335003262), we get a palindrome (2958008592).

The spelling of 2623005330 in words is "two billion, six hundred twenty-three million, five thousand, three hundred thirty".