2248957656 has 256 divisors, whose sum is σ = 7133184000. Its totient is φ = 650280960.

The previous prime is 2248957597. The next prime is 2248957673. The reversal of 2248957656 is 6567598422.

2248957656 is a `hidden beast` number, since 22 + 48 + 9 + 576 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 8750680 + ... + 8750936.

It is an arithmetic number, because the mean of its divisors is an integer number (27864000).

Almost surely, 2^2248957656 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 2248957656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566592000).

2248957656 is an abundant number, since it is smaller than the sum of its proper divisors (4884226344).

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

2248957656 is a wasteful number, since it uses less digits than its factorization.

2248957656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 2248957656 is about 47423.1763592444. The cubic root of 2248957656 is about 1310.1683166592.

The spelling of 2248957656 in words is "two billion, two hundred forty-eight million, nine hundred fifty-seven thousand, six hundred fifty-six".