2801611017972 has 576 divisors, whose sum is σ = 8668332288000. Its totient is φ = 778807830528.

The previous prime is 2801611017967. The next prime is 2801611017973. The reversal of 2801611017972 is 2797101161082.

It is a happy number.

2801611017972 is a `hidden beast` number, since 28 + 0 + 1 + 611 + 0 + 1 + 7 + 9 + 7 + 2 = 666.

It is a super-2 number, since 2×2801611017972² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801611017973) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 787188729 + ... + 787192287.

It is an arithmetic number, because the mean of its divisors is an integer number (15049188000).

Almost surely, 2^{2801611017972} 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 2801611017972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334166144000).

2801611017972 is an abundant number, since it is smaller than the sum of its proper divisors (5866721270028).

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

2801611017972 is a wasteful number, since it uses less digits than its factorization.

2801611017972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 2801611017972 in words is "two trillion, eight hundred one billion, six hundred eleven million, seventeen thousand, nine hundred seventy-two".