2647226880 has 160 divisors (see below), whose sum is σ = 9403416000. Its totient is φ = 705908736.

The previous prime is 2647226873. The next prime is 2647226917. The reversal of 2647226880 is 886227462.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49971 + ... + 88269.

It is an arithmetic number, because the mean of its divisors is an integer number (58771350).

Almost surely, 2^2647226880 is an apocalyptic number.

2647226880 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 2647226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701708000).

2647226880 is an abundant number, since it is smaller than the sum of its proper divisors (6756189120).

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

2647226880 is an equidigital number, since it uses as much as digits as its factorization.

2647226880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38331 (or 38309 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2647226880 is about 51451.2087321571. The cubic root of 2647226880 is about 1383.3446282847.

The spelling of 2647226880 in words is "two billion, six hundred forty-seven million, two hundred twenty-six thousand, eight hundred eighty".