2076148800 has 672 divisors, whose sum is σ = 8776045440. Its totient is φ = 471859200.

The previous prime is 2076148793. The next prime is 2076148801. The reversal of 2076148800 is 88416702.

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

It is not an unprimeable number, because it can be changed into a prime (2076148801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8078272 + ... + 8078528.

Almost surely, 2^2076148800 is an apocalyptic number.

2076148800 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 2076148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388022720).

2076148800 is an abundant number, since it is smaller than the sum of its proper divisors (6699896640).

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

2076148800 is a wasteful number, since it uses less digits than its factorization.

2076148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2076148800 is about 45564.7758690855. The cubic root of 2076148800 is about 1275.7125428926.

The spelling of 2076148800 in words is "two billion, seventy-six million, one hundred forty-eight thousand, eight hundred".