1899774240 has 768 divisors, whose sum is σ = 8063483904. Its totient is φ = 364953600.

The previous prime is 1899774229. The next prime is 1899774257. The reversal of 1899774240 is 424779981.

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 127 ways as a sum of consecutive naturals, for example, 31143810 + ... + 31143870.

It is an arithmetic number, because the mean of its divisors is an integer number (10499328).

Almost surely, 2^1899774240 is an apocalyptic number.

1899774240 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 1899774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031741952).

1899774240 is an abundant number, since it is smaller than the sum of its proper divisors (6163709664).

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

1899774240 is a wasteful number, since it uses less digits than its factorization.

1899774240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 1899774240 is about 43586.3997136722. The cubic root of 1899774240 is about 1238.5132719272.

The spelling of 1899774240 in words is "one billion, eight hundred ninety-nine million, seven hundred seventy-four thousand, two hundred forty".