1882465920 has 160 divisors (see below), whose sum is σ = 6722810820. Its totient is φ = 501977088.

The previous prime is 1882465891. The next prime is 1882465933. The reversal of 1882465920 is 295642881.

1882465920 is a `hidden beast` number, since 18 + 8 + 2 + 46 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1737889344 + 144576576 = 41688^2 + 12024^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1882465920² = 7087355879922892800, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 33684 + ... + 69996.

Almost surely, 2^1882465920 is an apocalyptic number.

1882465920 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 1882465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361405410).

1882465920 is an abundant number, since it is smaller than the sum of its proper divisors (4840344900).

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

1882465920 is an equidigital number, since it uses as much as digits as its factorization.

1882465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36344 (or 36323 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 1882465920 is about 43387.3935608029. The cubic root of 1882465920 is about 1234.7405400512.

The spelling of 1882465920 in words is "one billion, eight hundred eighty-two million, four hundred sixty-five thousand, nine hundred twenty".