2034755100 has 288 divisors, whose sum is σ = 7527296000. Its totient is φ = 461894400.

The previous prime is 2034755089. The next prime is 2034755111. The reversal of 2034755100 is 15574302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2034755089) and next prime (2034755111).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3760830 + ... + 3761370.

Almost surely, 2^2034755100 is an apocalyptic number.

2034755100 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 2034755100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763648000).

2034755100 is an abundant number, since it is smaller than the sum of its proper divisors (5492540900).

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

2034755100 is a wasteful number, since it uses less digits than its factorization.

2034755100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2034755100 is about 45108.2597757883. The cubic root of 2034755100 is about 1267.1772925870.

The spelling of 2034755100 in words is "two billion, thirty-four million, seven hundred fifty-five thousand, one hundred".