2085264372240 has 720 divisors, whose sum is σ = 8482216697136. Its totient is φ = 457364275200.

The previous prime is 2085264372223. The next prime is 2085264372251. The reversal of 2085264372240 is 422734625802.

2085264372240 is a `hidden beast` number, since 2 + 0 + 85 + 264 + 3 + 72 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 335157629184 + 1750106743056 = 578928^2 + 1322916^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88223464 + ... + 88247096.

Almost surely, 2^{2085264372240} is an apocalyptic number.

2085264372240 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 2085264372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241108348568).

2085264372240 is an abundant number, since it is smaller than the sum of its proper divisors (6396952324896).

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

2085264372240 is a wasteful number, since it uses less digits than its factorization.

2085264372240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23768 (or 23752 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 2085264372240 in words is "two trillion, eighty-five billion, two hundred sixty-four million, three hundred seventy-two thousand, two hundred forty".