1900381824 has 320 divisors, whose sum is σ = 6501765600. Its totient is φ = 544942080.

The previous prime is 1900381783. The next prime is 1900381837. The reversal of 1900381824 is 4281830091.

It is a super-2 number, since 2×1900381824² = 7222902153979133952, which contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 2166474 + ... + 2167350.

Almost surely, 2^1900381824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250882800).

1900381824 is an abundant number, since it is smaller than the sum of its proper divisors (4601383776).

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

1900381824 is a wasteful number, since it uses less digits than its factorization.

1900381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1900381824 is about 43593.3690370451. The cubic root of 1900381824 is about 1238.6452912350.

The spelling of 1900381824 in words is "one billion, nine hundred million, three hundred eighty-one thousand, eight hundred twenty-four".