2648769024 has 320 divisors, whose sum is σ = 8359464960. Its totient is φ = 736542720.

The previous prime is 2648769017. The next prime is 2648769049. The reversal of 2648769024 is 4209678462.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 11877777 + ... + 11877999.

It is an arithmetic number, because the mean of its divisors is an integer number (26123328).

Almost surely, 2^2648769024 is an apocalyptic number.

2648769024 is a gapful number since it is divisible by the number (24) 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 2648769024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179732480).

2648769024 is an abundant number, since it is smaller than the sum of its proper divisors (5710695936).

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

2648769024 is a wasteful number, since it uses less digits than its factorization.

2648769024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2648769024 is about 51466.1930202730. The cubic root of 2648769024 is about 1383.6131989556.

The spelling of 2648769024 in words is "two billion, six hundred forty-eight million, seven hundred sixty-nine thousand, twenty-four".