2684541240 has 192 divisors, whose sum is σ = 8928092160. Its totient is φ = 699390720.

The previous prime is 2684541239. The next prime is 2684541257. The reversal of 2684541240 is 421454862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2684541195 and 2684541204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3245707 + ... + 3246533.

It is an arithmetic number, because the mean of its divisors is an integer number (46500480).

Almost surely, 2^2684541240 is an apocalyptic number.

2684541240 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 2684541240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464046080).

2684541240 is an abundant number, since it is smaller than the sum of its proper divisors (6243550920).

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

2684541240 is a wasteful number, since it uses less digits than its factorization.

2684541240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2684541240 is about 51812.5587092550. The cubic root of 2684541240 is about 1389.8140358154.

The spelling of 2684541240 in words is "two billion, six hundred eighty-four million, five hundred forty-one thousand, two hundred forty".