2817264397640 has 256 divisors, whose sum is σ = 8387694028800. Its totient is φ = 831890062080.

The previous prime is 2817264397631. The next prime is 2817264397681. The reversal of 2817264397640 is 467934627182.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2817264397640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6881987 + ... + 7279853.

It is an arithmetic number, because the mean of its divisors is an integer number (32764429800).

Almost surely, 2^{2817264397640} is an apocalyptic number.

2817264397640 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 2817264397640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193847014400).

2817264397640 is an abundant number, since it is smaller than the sum of its proper divisors (5570429631160).

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

2817264397640 is a wasteful number, since it uses less digits than its factorization.

2817264397640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397937 (or 397911 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 59.

The spelling of 2817264397640 in words is "two trillion, eight hundred seventeen billion, two hundred sixty-four million, three hundred ninety-seven thousand, six hundred forty".