2642690240 has 224 divisors, whose sum is σ = 6912864000. Its totient is φ = 958943232.

The previous prime is 2642690233. The next prime is 2642690269. The reversal of 2642690240 is 420962462.

It is a self number, because there is not a number n which added to its sum of digits gives 2642690240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19012091 + ... + 19012229.

It is an arithmetic number, because the mean of its divisors is an integer number (30861000).

Almost surely, 2^2642690240 is an apocalyptic number.

2642690240 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 2642690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456432000).

2642690240 is an abundant number, since it is smaller than the sum of its proper divisors (4270173760).

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

2642690240 is a wasteful number, since it uses less digits than its factorization.

2642690240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 2642690240 is about 51407.1030111598. The cubic root of 2642690240 is about 1382.5539486723.

The spelling of 2642690240 in words is "two billion, six hundred forty-two million, six hundred ninety thousand, two hundred forty".