2051919100 has 108 divisors (see below), whose sum is σ = 5650653960. Its totient is φ = 639542400.

The previous prime is 2051919083. The next prime is 2051919137. The reversal of 2051919100 is 19191502.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34866 + ... + 72934.

It is an arithmetic number, because the mean of its divisors is an integer number (52320870).

Almost surely, 2^2051919100 is an apocalyptic number.

2051919100 is a gapful number since it is divisible by the number (20) 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 2051919100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825326980).

2051919100 is an abundant number, since it is smaller than the sum of its proper divisors (3598734860).

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

2051919100 is a wasteful number, since it uses less digits than its factorization.

2051919100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38108 (or 38094 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 28.

The square root of 2051919100 is about 45298.1136472591. The cubic root of 2051919100 is about 1270.7303753432.

The spelling of 2051919100 in words is "two billion, fifty-one million, nine hundred nineteen thousand, one hundred".