2678386500 has 240 divisors, whose sum is σ = 8956964016. Its totient is φ = 696384000.

The previous prime is 2678386457. The next prime is 2678386507. The reversal of 2678386500 is 56838762.

2678386500 is a `hidden beast` number, since 2 + 67 + 8 + 3 + 86 + 500 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1443848004 + 1234538496 = 37998^2 + 35136^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2678386507) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1659694 + ... + 1661306.

Almost surely, 2^2678386500 is an apocalyptic number.

2678386500 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 2678386500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478482008).

2678386500 is an abundant number, since it is smaller than the sum of its proper divisors (6278577516).

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

2678386500 is a wasteful number, since it uses less digits than its factorization.

2678386500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2678386500 is about 51753.1303401060. The cubic root of 2678386500 is about 1388.7510994565.

The spelling of 2678386500 in words is "two billion, six hundred seventy-eight million, three hundred eighty-six thousand, five hundred".