2685517920 has 144 divisors (see below), whose sum is σ = 9179194752. Its totient is φ = 714977280.

The previous prime is 2685517907. The next prime is 2685517963. The reversal of 2685517920 is 297155862.

2685517920 is a `hidden beast` number, since 2 + 6 + 8 + 551 + 7 + 92 + 0 = 666.

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

It is a super-2 number, since 2×2685517920² = 14424012997282252800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1241640 + ... + 1243800.

It is an arithmetic number, because the mean of its divisors is an integer number (63744408).

Almost surely, 2^2685517920 is an apocalyptic number.

2685517920 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 2685517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589597376).

2685517920 is an abundant number, since it is smaller than the sum of its proper divisors (6493676832).

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

2685517920 is a wasteful number, since it uses less digits than its factorization.

2685517920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2685517920 is about 51821.9829801987. The cubic root of 2685517920 is about 1389.9825610703.

The spelling of 2685517920 in words is "two billion, six hundred eighty-five million, five hundred seventeen thousand, nine hundred twenty".