1905222960 has 120 divisors (see below), whose sum is σ = 6444743760. Its totient is φ = 504377856.

The previous prime is 1905222883. The next prime is 1905222961. The reversal of 1905222960 is 692225091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1905222960² = 7259749054622323200, which contains 22 as substring.

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 (1905222961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90562 + ... + 109598.

It is an arithmetic number, because the mean of its divisors is an integer number (53706198).

Almost surely, 2^1905222960 is an apocalyptic number.

1905222960 is a gapful number since it is divisible by the number (10) 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 1905222960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222371880).

1905222960 is an abundant number, since it is smaller than the sum of its proper divisors (4539520800).

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

1905222960 is a wasteful number, since it uses less digits than its factorization.

1905222960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19195 (or 19186 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1905222960 is about 43648.8597789221. The cubic root of 1905222960 is about 1239.6961968188.

The spelling of 1905222960 in words is "one billion, nine hundred five million, two hundred twenty-two thousand, nine hundred sixty".