2082748800 has 384 divisors, whose sum is σ = 7591835520. Its totient is φ = 501811200.

The previous prime is 2082748799. The next prime is 2082748807. The reversal of 2082748800 is 88472802.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082748807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12777519 + ... + 12777681.

It is an arithmetic number, because the mean of its divisors is an integer number (19770405).

Almost surely, 2^2082748800 is an apocalyptic number.

2082748800 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 2082748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795917760).

2082748800 is an abundant number, since it is smaller than the sum of its proper divisors (5509086720).

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

2082748800 is a wasteful number, since it uses less digits than its factorization.

2082748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 2082748800 is about 45637.1427677062. The cubic root of 2082748800 is about 1277.0629272408.

The spelling of 2082748800 in words is "two billion, eighty-two million, seven hundred forty-eight thousand, eight hundred".