2635248 has 160 divisors (see below), whose sum is σ = 9142272. Its totient is φ = 633600.

The previous prime is 2635247. The next prime is 2635253. The reversal of 2635248 is 8425362.

It is a d-powerful number, because it can be written as 2¹⁶ + 6 + 3² + 5⁸ + 2¹⁶ + 4⁷ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2635247) 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, 84993 + ... + 85023.

2^2635248 is an apocalyptic number.

2635248 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 2635248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4571136).

2635248 is an abundant number, since it is smaller than the sum of its proper divisors (6507024).

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

2635248 is a wasteful number, since it uses less digits than its factorization.

2635248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 2635248 is about 1623.3446953743. The cubic root of 2635248 is about 138.1254897166.

The spelling of 2635248 in words is "two million, six hundred thirty-five thousand, two hundred forty-eight".