2107226880 has 576 divisors, whose sum is σ = 8547517440. Its totient is φ = 486604800.

The previous prime is 2107226861. The next prime is 2107226881. The reversal of 2107226880 is 886227012.

It is a happy number.

2107226880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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 (2107226881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8743560 + ... + 8743800.

It is an arithmetic number, because the mean of its divisors is an integer number (14839440).

Almost surely, 2^2107226880 is an apocalyptic number.

2107226880 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 2107226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273758720).

2107226880 is an abundant number, since it is smaller than the sum of its proper divisors (6440290560).

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

2107226880 is a wasteful number, since it uses less digits than its factorization.

2107226880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2107226880 is about 45904.5409518492. The cubic root of 2107226880 is about 1282.0464659468.

The spelling of 2107226880 in words is "two billion, one hundred seven million, two hundred twenty-six thousand, eight hundred eighty".