2623883262 has 192 divisors, whose sum is σ = 7239456000. Its totient is φ = 623185920.

The previous prime is 2623883237. The next prime is 2623883291.

2623883262 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5843614 + ... + 5844062.

It is an arithmetic number, because the mean of its divisors is an integer number (37705500).

Almost surely, 2^2623883262 is an apocalyptic number.

2623883262 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2623883262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619728000).

2623883262 is an abundant number, since it is smaller than the sum of its proper divisors (4615572738).

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

2623883262 is a wasteful number, since it uses less digits than its factorization.

2623883262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 624 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 2623883262 is about 51223.8544235008. The cubic root of 2623883262 is about 1379.2664416839.

The spelling of 2623883262 in words is "two billion, six hundred twenty-three million, eight hundred eighty-three thousand, two hundred sixty-two".