1821450240 has 392 divisors, whose sum is σ = 6661262268. Its totient is φ = 477757440.

The previous prime is 1821450233. The next prime is 1821450269. The reversal of 1821450240 is 420541281.

It can be written as a sum of positive squares in 2 ways, for example, as 1579585536 + 241864704 = 39744^2 + 15552^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 29859810 + ... + 29859870.

Almost surely, 2^1821450240 is an apocalyptic number.

1821450240 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 1821450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330631134).

1821450240 is an abundant number, since it is smaller than the sum of its proper divisors (4839812028).

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

1821450240 is an frugal number, since it uses more digits than its factorization.

1821450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1821450240 is about 42678.4517057496. The cubic root of 1821450240 is about 1221.2533567423.

The spelling of 1821450240 in words is "one billion, eight hundred twenty-one million, four hundred fifty thousand, two hundred forty".