2226929760 has 576 divisors, whose sum is σ = 8876335104. Its totient is φ = 522547200.

The previous prime is 2226929753. The next prime is 2226929791. The reversal of 2226929760 is 679296222.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17534817 + ... + 17534943.

It is an arithmetic number, because the mean of its divisors is an integer number (15410304).

Almost surely, 2^2226929760 is an apocalyptic number.

2226929760 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 2226929760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4438167552).

2226929760 is an abundant number, since it is smaller than the sum of its proper divisors (6649405344).

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

2226929760 is a wasteful number, since it uses less digits than its factorization.

2226929760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2226929760 is about 47190.3566420090. The cubic root of 2226929760 is about 1305.8766998423.

The spelling of 2226929760 in words is "two billion, two hundred twenty-six million, nine hundred twenty-nine thousand, seven hundred sixty".