2034892800 has 432 divisors, whose sum is σ = 7801375680. Its totient is φ = 519045120.

The previous prime is 2034892787. The next prime is 2034892801. The reversal of 2034892800 is 82984302.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034892801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88473589 + ... + 88473611.

It is an arithmetic number, because the mean of its divisors is an integer number (18058740).

Almost surely, 2^2034892800 is an apocalyptic number.

2034892800 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 2034892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3900687840).

2034892800 is an abundant number, since it is smaller than the sum of its proper divisors (5766482880).

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

2034892800 is an frugal number, since it uses more digits than its factorization.

2034892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2034892800 is about 45109.7860779676. The cubic root of 2034892800 is about 1267.2058769241.

The spelling of 2034892800 in words is "two billion, thirty-four million, eight hundred ninety-two thousand, eight hundred".