2064070252800 has 270 divisors, whose sum is σ = 7631810099298. Its totient is φ = 550418595840.

The previous prime is 2064070252793. The next prime is 2064070252813. The reversal of 2064070252800 is 82520704602.

2064070252800 is a `hidden beast` number, since 2 + 0 + 64 + 0 + 70 + 2 + 528 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 277164343296 + 1786905909504 = 526464^2 + 1336752^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1472409 + ... + 2509208.

Almost surely, 2^{2064070252800} is an apocalyptic number.

2064070252800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2064070252800 is an abundant number, since it is smaller than the sum of its proper divisors (5567739846498).

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

2064070252800 is an equidigital number, since it uses as much as digits as its factorization.

2064070252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981655 (or 3981627 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2064070252800 in words is "two trillion, sixty-four billion, seventy million, two hundred fifty-two thousand, eight hundred".