2635227648 has 320 divisors, whose sum is σ = 8380416000. Its totient is φ = 815173632.

The previous prime is 2635227619. The next prime is 2635227649. The reversal of 2635227648 is 8467225362.

2635227648 is a `hidden beast` number, since 2 + 63 + 522 + 7 + 64 + 8 = 666.

It is a super-2 number, since 2×2635227648² = 13888849513567223808, which contains 22 as substring.

Its product of digits (967680) is a multiple of the sum of its prime factors (252).

It is not an unprimeable number, because it can be changed into a prime (2635227649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20749761 + ... + 20749887.

It is an arithmetic number, because the mean of its divisors is an integer number (26188800).

Almost surely, 2^2635227648 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 2635227648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190208000).

2635227648 is an abundant number, since it is smaller than the sum of its proper divisors (5745188352).

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

2635227648 is a wasteful number, since it uses less digits than its factorization.

2635227648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 230 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2635227648 is about 51334.4684203509. The cubic root of 2635227648 is about 1381.2513413499.

The spelling of 2635227648 in words is "two billion, six hundred thirty-five million, two hundred twenty-seven thousand, six hundred forty-eight".