2100033040 has 80 divisors (see below), whose sum is σ = 5585892480. Its totient is φ = 719262720.

The previous prime is 2100033029. The next prime is 2100033041. The reversal of 2100033040 is 403300012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2100033040.

It is not an unprimeable number, because it can be changed into a prime (2100033041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 962671 + ... + 964849.

It is an arithmetic number, because the mean of its divisors is an integer number (69823656).

Almost surely, 2^2100033040 is an apocalyptic number.

2100033040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100033040 is an abundant number, since it is smaller than the sum of its proper divisors (3485859440).

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

2100033040 is a wasteful number, since it uses less digits than its factorization.

2100033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2100033040 is about 45826.1174440951. The cubic root of 2100033040 is about 1280.5858808786.

Adding to 2100033040 its reverse (403300012), we get a palindrome (2503333052).

The spelling of 2100033040 in words is "two billion, one hundred million, thirty-three thousand, forty".