2623610880 has 336 divisors, whose sum is σ = 9936748224. Its totient is φ = 635043840.

The previous prime is 2623610849. The next prime is 2623610887. The reversal of 2623610880 is 880163262.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2623610887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4054717 + ... + 4055363.

Almost surely, 2^2623610880 is an apocalyptic number.

2623610880 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 2623610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968374112).

2623610880 is an abundant number, since it is smaller than the sum of its proper divisors (7313137344).

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

2623610880 is a wasteful number, since it uses less digits than its factorization.

2623610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2623610880 is about 51221.1956127539. The cubic root of 2623610880 is about 1379.2187133979.

The spelling of 2623610880 in words is "two billion, six hundred twenty-three million, six hundred ten thousand, eight hundred eighty".