2683887360 has 576 divisors, whose sum is σ = 11090580480. Its totient is φ = 536739840.

The previous prime is 2683887343. The next prime is 2683887361. The reversal of 2683887360 is 637883862.

It is a super-2 number, since 2×2683887360² = 14406502722335539200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2683887361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8574564 + ... + 8574876.

It is an arithmetic number, because the mean of its divisors is an integer number (19254480).

Almost surely, 2^2683887360 is an apocalyptic number.

2683887360 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 2683887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5545290240).

2683887360 is an abundant number, since it is smaller than the sum of its proper divisors (8406693120).

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

2683887360 is a wasteful number, since it uses less digits than its factorization.

2683887360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 2683887360 is about 51806.2482718060. The cubic root of 2683887360 is about 1389.7011865655.

The spelling of 2683887360 in words is "two billion, six hundred eighty-three million, eight hundred eighty-seven thousand, three hundred sixty".