1864778240 has 160 divisors (see below), whose sum is σ = 4862032560. Its totient is φ = 681836544.

The previous prime is 1864778239. The next prime is 1864778257. The reversal of 1864778240 is 428774681.

It can be written as a sum of positive squares in 8 ways, for example, as 972441856 + 892336384 = 31184^2 + 29872^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4559156 + ... + 4559564.

Almost surely, 2^1864778240 is an apocalyptic number.

1864778240 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 1864778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2431016280).

1864778240 is an abundant number, since it is smaller than the sum of its proper divisors (2997254320).

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

1864778240 is a wasteful number, since it uses less digits than its factorization.

1864778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The square root of 1864778240 is about 43183.0781672636. The cubic root of 1864778240 is about 1230.8611503143.

The spelling of 1864778240 in words is "one billion, eight hundred sixty-four million, seven hundred seventy-eight thousand, two hundred forty".