2630881344 has 280 divisors, whose sum is σ = 8765113280. Its totient is φ = 692278272.

The previous prime is 2630881339. The next prime is 2630881367. The reversal of 2630881344 is 4431880362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5992677 + ... + 5993115.

It is an arithmetic number, because the mean of its divisors is an integer number (31303976).

Almost surely, 2^2630881344 is an apocalyptic number.

2630881344 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 2630881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382556640).

2630881344 is an abundant number, since it is smaller than the sum of its proper divisors (6134231936).

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

2630881344 is an equidigital number, since it uses as much as digits as its factorization.

2630881344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 2630881344 is about 51292.1177570199. The cubic root of 2630881344 is about 1380.4915535172.

The spelling of 2630881344 in words is "two billion, six hundred thirty million, eight hundred eighty-one thousand, three hundred forty-four".