2682867600 has 540 divisors, whose sum is σ = 11040413904. Its totient is φ = 601413120.

The previous prime is 2682867587. The next prime is 2682867601. The reversal of 2682867600 is 67682862.

It is a happy number.

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 (2682867601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11818687 + ... + 11818913.

Almost surely, 2^2682867600 is an apocalyptic number.

2682867600 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 2682867600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520206952).

2682867600 is an abundant number, since it is smaller than the sum of its proper divisors (8357546304).

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

2682867600 is a wasteful number, since it uses less digits than its factorization.

2682867600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2682867600 is about 51796.4052806756. The cubic root of 2682867600 is about 1389.5251556799.

The spelling of 2682867600 in words is "two billion, six hundred eighty-two million, eight hundred sixty-seven thousand, six hundred".