2273905920 has 576 divisors, whose sum is σ = 8826547968. Its totient is φ = 491520000.

The previous prime is 2273905891. The next prime is 2273905951. The reversal of 2273905920 is 295093722.

It is a super-2 number, since 2×2273905920² = 10341296266022092800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 22513870 + ... + 22513970.

It is an arithmetic number, because the mean of its divisors is an integer number (15323868).

Almost surely, 2^2273905920 is an apocalyptic number.

2273905920 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 2273905920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4413273984).

2273905920 is an abundant number, since it is smaller than the sum of its proper divisors (6552642048).

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

2273905920 is a wasteful number, since it uses less digits than its factorization.

2273905920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 2273905920 is about 47685.4896168635. The cubic root of 2273905920 is about 1314.9951895423.

The spelling of 2273905920 in words is "two billion, two hundred seventy-three million, nine hundred five thousand, nine hundred twenty".