1900641792 has 120 divisors (see below), whose sum is σ = 5890343976. Its totient is φ = 543019008.

The previous prime is 1900641779. The next prime is 1900641793. The reversal of 1900641792 is 2971460091.

It is a super-2 number, since 2×1900641792² = 7224878442993942528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1900641792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900641793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62638 + ... + 87890.

Almost surely, 2^1900641792 is an apocalyptic number.

1900641792 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 1900641792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945171988).

1900641792 is an abundant number, since it is smaller than the sum of its proper divisors (3989702184).

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

1900641792 is an equidigital number, since it uses as much as digits as its factorization.

1900641792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25288 (or 25265 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 1900641792 is about 43596.3506729634. The cubic root of 1900641792 is about 1238.7017699652.

The spelling of 1900641792 in words is "one billion, nine hundred million, six hundred forty-one thousand, seven hundred ninety-two".