2687859720 has 384 divisors, whose sum is σ = 11226902400. Its totient is φ = 566963712.

The previous prime is 2687859677. The next prime is 2687859721. The reversal of 2687859720 is 279587862.

It is a happy number.

2687859720 is a `hidden beast` number, since 26 + 8 + 7 + 8 + 597 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2687859721) 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, 686007 + ... + 689913.

It is an arithmetic number, because the mean of its divisors is an integer number (29236725).

Almost surely, 2^2687859720 is an apocalyptic number.

2687859720 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 2687859720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613451200).

2687859720 is an abundant number, since it is smaller than the sum of its proper divisors (8539042680).

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

2687859720 is a wasteful number, since it uses less digits than its factorization.

2687859720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2687859720 is about 51844.5727149911. The cubic root of 2687859720 is about 1390.3864701817.

The spelling of 2687859720 in words is "two billion, six hundred eighty-seven million, eight hundred fifty-nine thousand, seven hundred twenty".