1891419012 has 180 divisors, whose sum is σ = 5809894860. Its totient is φ = 534957696.

The previous prime is 1891418989. The next prime is 1891419017. The reversal of 1891419012 is 2109141981.

It can be written as a sum of positive squares in 2 ways, for example, as 1666598976 + 224820036 = 40824^2 + 14994^2 .

It is a super-2 number, since 2×1891419012² = 7154931757910112288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1891419017) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1729938 + ... + 1731030.

Almost surely, 2^1891419012 is an apocalyptic number.

1891419012 is a gapful number since it is divisible by the number (12) 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 1891419012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904947430).

1891419012 is an abundant number, since it is smaller than the sum of its proper divisors (3918475848).

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

1891419012 is a wasteful number, since it uses less digits than its factorization.

1891419012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 1891419012 is about 43490.4473649099. The cubic root of 1891419012 is about 1236.6949386361.

It can be divided in two parts, 1891 and 419012, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 1891419012 in words is "one billion, eight hundred ninety-one million, four hundred nineteen thousand, twelve".