2262879920 has 80 divisors (see below), whose sum is σ = 6020239680. Its totient is φ = 774884352.

The previous prime is 2262879869. The next prime is 2262879943. The reversal of 2262879920 is 299782622.

It is a tau number, because it is divible by the number of its divisors (80).

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, 565286 + ... + 569274.

It is an arithmetic number, because the mean of its divisors is an integer number (75252996).

Almost surely, 2^2262879920 is an apocalyptic number.

2262879920 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 2262879920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010119840).

2262879920 is an abundant number, since it is smaller than the sum of its proper divisors (3757359760).

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

2262879920 is a wasteful number, since it uses less digits than its factorization.

2262879920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 2262879920 is about 47569.7374388382. The cubic root of 2262879920 is about 1312.8663070696.

The spelling of 2262879920 in words is "two billion, two hundred sixty-two million, eight hundred seventy-nine thousand, nine hundred twenty".