2511233648 has 160 divisors (see below), whose sum is σ = 6479585280. Its totient is φ = 913248000.

The previous prime is 2511233567. The next prime is 2511233689. The reversal of 2511233648 is 8463321152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1661213 + ... + 1662723.

It is an arithmetic number, because the mean of its divisors is an integer number (40497408).

Almost surely, 2^2511233648 is an apocalyptic number.

2511233648 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 2511233648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239792640).

2511233648 is an abundant number, since it is smaller than the sum of its proper divisors (3968351632).

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

2511233648 is a wasteful number, since it uses less digits than its factorization.

2511233648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1621 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 2511233648 is about 50112.2105678846. The cubic root of 2511233648 is about 1359.2386251621.

The spelling of 2511233648 in words is "two billion, five hundred eleven million, two hundred thirty-three thousand, six hundred forty-eight".