2622267648 has 576 divisors, whose sum is σ = 10439116800. Its totient is φ = 627056640.

The previous prime is 2622267643. The next prime is 2622267677. The reversal of 2622267648 is 8467622262.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2622267643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6918723 + ... + 6919101.

Almost surely, 2^2622267648 is an apocalyptic number.

2622267648 is a gapful number since it is divisible by the number (28) 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 2622267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219558400).

2622267648 is an abundant number, since it is smaller than the sum of its proper divisors (7816849152).

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

2622267648 is a wasteful number, since it uses less digits than its factorization.

2622267648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 415 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2622267648 is about 51208.0818621436. The cubic root of 2622267648 is about 1378.9832965047.

The spelling of 2622267648 in words is "two billion, six hundred twenty-two million, two hundred sixty-seven thousand, six hundred forty-eight".