2034561100 has 144 divisors (see below), whose sum is σ = 5260600800. Its totient is φ = 673228800.

The previous prime is 2034561079. The next prime is 2034561197. The reversal of 2034561100 is 11654302.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1042926 + ... + 1044874.

It is an arithmetic number, because the mean of its divisors is an integer number (36531950).

Almost surely, 2^2034561100 is an apocalyptic number.

2034561100 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 2034561100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630300400).

2034561100 is an abundant number, since it is smaller than the sum of its proper divisors (3226039700).

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

2034561100 is a wasteful number, since it uses less digits than its factorization.

2034561100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2034561100 is about 45106.1093423053. The cubic root of 2034561100 is about 1267.1370190739.

It can be divided in two parts, 203456 and 1100, that multiplied together give a square (223801600 = 14960²).

The spelling of 2034561100 in words is "two billion, thirty-four million, five hundred sixty-one thousand, one hundred".