2034979200 has 288 divisors, whose sum is σ = 7533085560. Its totient is φ = 542453760.

The previous prime is 2034979183. The next prime is 2034979223. The reversal of 2034979200 is 29794302.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-5 number, since 5×2034979200⁵ (a number of 48 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 776292 + ... + 778908.

Almost surely, 2^2034979200 is an apocalyptic number.

2034979200 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 2034979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766542780).

2034979200 is an abundant number, since it is smaller than the sum of its proper divisors (5498106360).

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

2034979200 is an equidigital number, since it uses as much as digits as its factorization.

2034979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2034979200 is about 45110.7437313995. The cubic root of 2034979200 is about 1267.2238115360.

The spelling of 2034979200 in words is "two billion, thirty-four million, nine hundred seventy-nine thousand, two hundred".