1900005267840 has 256 divisors, whose sum is σ = 6093424903680. Its totient is φ = 503564599296.

The previous prime is 1900005267833. The next prime is 1900005267863. The reversal of 1900005267840 is 487625000091.

It is a super-2 number, since 2×1900005267840² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1900005267792 and 1900005267801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 571772419 + ... + 571775741.

It is an arithmetic number, because the mean of its divisors is an integer number (23802441030).

Almost surely, 2^{1900005267840} is an apocalyptic number.

1900005267840 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 1900005267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046712451840).

1900005267840 is an abundant number, since it is smaller than the sum of its proper divisors (4193419635840).

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

1900005267840 is a wasteful number, since it uses less digits than its factorization.

1900005267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 1900005267840 in words is "one trillion, nine hundred billion, five million, two hundred sixty-seven thousand, eight hundred forty".