2685795840 has 960 divisors, whose sum is σ = 12147347520. Its totient is φ = 557383680.

The previous prime is 2685795839. The next prime is 2685795841. The reversal of 2685795840 is 485975862.

2685795840 is a `hidden beast` number, since 2 + 6 + 8 + 57 + 9 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2685795839) and next prime (2685795841).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2685795840² = 14426998588322611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2685795841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44029410 + ... + 44029470.

It is an arithmetic number, because the mean of its divisors is an integer number (12653487).

Almost surely, 2^2685795840 is an apocalyptic number.

2685795840 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 2685795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6073673760).

2685795840 is an abundant number, since it is smaller than the sum of its proper divisors (9461551680).

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

2685795840 is a wasteful number, since it uses less digits than its factorization.

2685795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 2685795840 is about 51824.6643983345. The cubic root of 2685795840 is about 1390.0305084483.

The spelling of 2685795840 in words is "two billion, six hundred eighty-five million, seven hundred ninety-five thousand, eight hundred forty".