2682764280 has 384 divisors, whose sum is σ = 10797235200. Its totient is φ = 580338432.

The previous prime is 2682764267. The next prime is 2682764303. The reversal of 2682764280 is 824672862.

2682764280 is a `hidden beast` number, since 268 + 276 + 42 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2728669 + ... + 2729651.

It is an arithmetic number, because the mean of its divisors is an integer number (28117800).

Almost surely, 2^2682764280 is an apocalyptic number.

2682764280 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 2682764280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398617600).

2682764280 is an abundant number, since it is smaller than the sum of its proper divisors (8114470920).

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

2682764280 is a wasteful number, since it uses less digits than its factorization.

2682764280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2682764280 is about 51795.4079045624. The cubic root of 2682764280 is about 1389.5073181017.

It can be divided in two parts, 2682764 and 280, that added together give a square (2683044 = 1638²).

The spelling of 2682764280 in words is "two billion, six hundred eighty-two million, seven hundred sixty-four thousand, two hundred eighty".