2081007245772 has 288 divisors, whose sum is σ = 6776559820800. Its totient is φ = 547397149824.

The previous prime is 2081007245719. The next prime is 2081007245791. The reversal of 2081007245772 is 2775427001802.

2081007245772 is a `hidden beast` number, since 2 + 0 + 8 + 1 + 0 + 0 + 72 + 4 + 577 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26309379 + ... + 26388357.

It is an arithmetic number, because the mean of its divisors is an integer number (23529721600).

Almost surely, 2^{2081007245772} 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 2081007245772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3388279910400).

2081007245772 is an abundant number, since it is smaller than the sum of its proper divisors (4695552575028).

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

2081007245772 is a wasteful number, since it uses less digits than its factorization.

2081007245772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79402 (or 79387 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 2081007245772 in words is "two trillion, eighty-one billion, seven million, two hundred forty-five thousand, seven hundred seventy-two".