2085497961552 has 240 divisors, whose sum is σ = 6345537669120. Its totient is φ = 636964819200.

The previous prime is 2085497961541. The next prime is 2085497961557. The reversal of 2085497961552 is 2551697945802.

2085497961552 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 4 + 9 + 7 + 9 + 615 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2085497961552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085497961557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170558863 + ... + 170571089.

It is an arithmetic number, because the mean of its divisors is an integer number (26439740288).

Almost surely, 2^{2085497961552} 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 2085497961552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172768834560).

2085497961552 is an abundant number, since it is smaller than the sum of its proper divisors (4260039707568).

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

2085497961552 is a wasteful number, since it uses less digits than its factorization.

2085497961552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14302 (or 14293 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 2085497961552 in words is "two trillion, eighty-five billion, four hundred ninety-seven million, nine hundred sixty-one thousand, five hundred fifty-two".