1900800000 has 576 divisors, whose sum is σ = 7677633600. Its totient is φ = 460800000.

The previous prime is 1900799987. The next prime is 1900800047. The reversal of 1900800000 is 80091.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1900800000² = 7226081280000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172799995 + ... + 172800005.

It is an arithmetic number, because the mean of its divisors is an integer number (13329225).

Almost surely, 2^1900800000 is an apocalyptic number.

1900800000 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 1900800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838816800).

1900800000 is an abundant number, since it is smaller than the sum of its proper divisors (5776833600).

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

1900800000 is an frugal number, since it uses more digits than its factorization.

1900800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1900800000 is about 43598.1650990039. The cubic root of 1900800000 is about 1238.7361385476.

Adding to 1900800000 its reverse (80091), we get a palindrome (1900880091).

The spelling of 1900800000 in words is "one billion, nine hundred million, eight hundred thousand".