1820954880 has 216 divisors, whose sum is σ = 6504825600. Its totient is φ = 469831680.

The previous prime is 1820954857. The next prime is 1820954893. The reversal of 1820954880 is 884590281.

It is a happy number.

1820954880 is a `hidden beast` number, since 1 + 8 + 20 + 9 + 548 + 80 = 666.

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 23 ways as a sum of consecutive naturals, for example, 354571 + ... + 359669.

Almost surely, 2^1820954880 is an apocalyptic number.

1820954880 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 1820954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252412800).

1820954880 is an abundant number, since it is smaller than the sum of its proper divisors (4683870720).

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

1820954880 is a wasteful number, since it uses less digits than its factorization.

1820954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5157 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 1820954880 is about 42672.6479140913. The cubic root of 1820954880 is about 1221.1426363761.

The spelling of 1820954880 in words is "one billion, eight hundred twenty million, nine hundred fifty-four thousand, eight hundred eighty".