1882426320 has 240 divisors, whose sum is σ = 6757884432. Its totient is φ = 467927040.

The previous prime is 1882426313. The next prime is 1882426331. The reversal of 1882426320 is 236242881.

1882426320 is a `hidden beast` number, since 18 + 8 + 2 + 4 + 2 + 632 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 326597184 + 1555829136 = 18072^2 + 39444^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1382440 + ... + 1383800.

Almost surely, 2^1882426320 is an apocalyptic number.

1882426320 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 1882426320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378942216).

1882426320 is an abundant number, since it is smaller than the sum of its proper divisors (4875458112).

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

1882426320 is a wasteful number, since it uses less digits than its factorization.

1882426320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1882426320 is about 43386.9372046472. The cubic root of 1882426320 is about 1234.7318818921.

The spelling of 1882426320 in words is "one billion, eight hundred eighty-two million, four hundred twenty-six thousand, three hundred twenty".