2074312800 has 720 divisors, whose sum is σ = 9187849440. Its totient is φ = 444579840.

The previous prime is 2074312771. The next prime is 2074312811. The reversal of 2074312800 is 82134702.

2074312800 is a `hidden beast` number, since 207 + 431 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-4 number, since 4×2074312800⁴ (a number of 38 digits) contains 4444 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7711066 + ... + 7711334.

It is an arithmetic number, because the mean of its divisors is an integer number (12760902).

Almost surely, 2^2074312800 is an apocalyptic number.

2074312800 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 2074312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4593924720).

2074312800 is an abundant number, since it is smaller than the sum of its proper divisors (7113536640).

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

2074312800 is a wasteful number, since it uses less digits than its factorization.

2074312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2074312800 is about 45544.6242711475. The cubic root of 2074312800 is about 1275.3363818332.

The spelling of 2074312800 in words is "two billion, seventy-four million, three hundred twelve thousand, eight hundred".