2229776640 has 576 divisors, whose sum is σ = 9752332800. Its totient is φ = 469794816.

The previous prime is 2229776639. The next prime is 2229776663. The reversal of 2229776640 is 466779222.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3144606 + ... + 3145314.

Almost surely, 2^2229776640 is an apocalyptic number.

2229776640 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 2229776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876166400).

2229776640 is an abundant number, since it is smaller than the sum of its proper divisors (7522556160).

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

2229776640 is a wasteful number, since it uses less digits than its factorization.

2229776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 2229776640 is about 47220.5107977455. The cubic root of 2229776640 is about 1306.4329351938.

The spelling of 2229776640 in words is "two billion, two hundred twenty-nine million, seven hundred seventy-six thousand, six hundred forty".