2075247300672 has 1344 divisors, whose sum is σ = 8026732922880. Its totient is φ = 520457011200.

The previous prime is 2075247300647. The next prime is 2075247300713. The reversal of 2075247300672 is 2760037425702.

2075247300672 is a `hidden beast` number, since 20 + 7 + 524 + 7 + 30 + 0 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2081491278 + ... + 2081492274.

It is an arithmetic number, because the mean of its divisors is an integer number (5972271520).

Almost surely, 2^{2075247300672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2075247300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013366461440).

2075247300672 is an abundant number, since it is smaller than the sum of its proper divisors (5951485622208).

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

2075247300672 is a wasteful number, since it uses less digits than its factorization.

2075247300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 2075247300672 in words is "two trillion, seventy-five billion, two hundred forty-seven million, three hundred thousand, six hundred seventy-two".