2640238416 has 100 divisors (see below), whose sum is σ = 7905232500. Its totient is φ = 849719808.

The previous prime is 2640238369. The next prime is 2640238427. The reversal of 2640238416 is 6148320462.

2640238416 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 238 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 615238416 + 2025000000 = 24804^2 + 45000^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2460 + ... + 72708.

It is an arithmetic number, because the mean of its divisors is an integer number (79052325).

Almost surely, 2^2640238416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2640238416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952616250).

2640238416 is an abundant number, since it is smaller than the sum of its proper divisors (5264994084).

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

2640238416 is a wasteful number, since it uses less digits than its factorization.

2640238416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70298 (or 70283 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2640238416 is about 51383.2503448351. The cubic root of 2640238416 is about 1382.1262496858.

Adding to 2640238416 its reverse (6148320462), we get a palindrome (8788558878).

The spelling of 2640238416 in words is "two billion, six hundred forty million, two hundred thirty-eight thousand, four hundred sixteen".