2265585850000 has 720 divisors, whose sum is σ = 6425670762000. Its totient is φ = 771724800000.

The previous prime is 2265585849991. The next prime is 2265585850061. The reversal of 2265585850000 is 585855622.

2265585850000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 2265482543104 + 103306896 = 1505152^2 + 10164^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6491649826 + ... + 6491650174.

It is an arithmetic number, because the mean of its divisors is an integer number (8924542725).

Almost surely, 2^{2265585850000} is an apocalyptic number.

2265585850000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265585850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212835381000).

2265585850000 is an abundant number, since it is smaller than the sum of its proper divisors (4160084912000).

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

2265585850000 is a wasteful number, since it uses less digits than its factorization.

2265585850000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 46.

The spelling of 2265585850000 in words is "two trillion, two hundred sixty-five billion, five hundred eighty-five million, eight hundred fifty thousand".