2682090240 has 144 divisors (see below), whose sum is σ = 8842638336. Its totient is φ = 692121600.

The previous prime is 2682090239. The next prime is 2682090241. The reversal of 2682090240 is 420902862.

It is an interprime number because it is at equal distance from previous prime (2682090239) and next prime (2682090241).

It is not an unprimeable number, because it can be changed into a prime (2682090241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107775 + ... + 130305.

Almost surely, 2^2682090240 is an apocalyptic number.

2682090240 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 2682090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421319168).

2682090240 is an abundant number, since it is smaller than the sum of its proper divisors (6160548096).

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

2682090240 is a wasteful number, since it uses less digits than its factorization.

2682090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22586 (or 22572 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2682090240 is about 51788.9007413751. The cubic root of 2682090240 is about 1389.3909378978.

The spelling of 2682090240 in words is "two billion, six hundred eighty-two million, ninety thousand, two hundred forty".