2685265920 has 144 divisors (see below), whose sum is σ = 9306968580. Its totient is φ = 716046336.

The previous prime is 2685265907. The next prime is 2685265963. The reversal of 2685265920 is 295625862.

2685265920 is a `hidden beast` number, since 2 + 6 + 8 + 52 + 6 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2598552576 + 86713344 = 50976^2 + 9312^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2685265920² = 14421306122226892800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77592 + ... + 106728.

Almost surely, 2^2685265920 is an apocalyptic number.

2685265920 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 2685265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653484290).

2685265920 is an abundant number, since it is smaller than the sum of its proper divisors (6621702660).

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

2685265920 is a wasteful number, since it uses less digits than its factorization.

2685265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29170 (or 29147 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 2685265920 is about 51819.5515225672. The cubic root of 2685265920 is about 1389.9390826088.

The spelling of 2685265920 in words is "two billion, six hundred eighty-five million, two hundred sixty-five thousand, nine hundred twenty".