2035742100 has 144 divisors (see below), whose sum is σ = 6948888576. Its totient is φ = 450288000.

The previous prime is 2035742057. The next prime is 2035742113. The reversal of 2035742100 is 12475302.

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, 49465 + ... + 80735.

Almost surely, 2^2035742100 is an apocalyptic number.

2035742100 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 2035742100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474444288).

2035742100 is an abundant number, since it is smaller than the sum of its proper divisors (4913146476).

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

2035742100 is a wasteful number, since it uses less digits than its factorization.

2035742100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31326 (or 31319 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2035742100 is about 45119.1987960779. The cubic root of 2035742100 is about 1267.3821496425.

The spelling of 2035742100 in words is "two billion, thirty-five million, seven hundred forty-two thousand, one hundred".