2649263840 has 48 divisors (see below), whose sum is σ = 6262047792. Its totient is φ = 1059170304.

The previous prime is 2649263821. The next prime is 2649263849. The reversal of 2649263840 is 483629462.

2649263840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 51471²-1.

It is a junction number, because it is equal to n+sod(n) for n = 2649263791 and 2649263800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2649263849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512147 + ... + 517293.

It is an arithmetic number, because the mean of its divisors is an integer number (130459329).

Almost surely, 2^2649263840 is an apocalyptic number.

2649263840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2649263840 is an abundant number, since it is smaller than the sum of its proper divisors (3612783952).

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

2649263840 is a wasteful number, since it uses less digits than its factorization.

2649263840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8379 (or 8371 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 2649263840 is about 51470.9999902858. Note that the first 5 decimals coincide. The cubic root of 2649263840 is about 1383.6993510908.

The spelling of 2649263840 in words is "two billion, six hundred forty-nine million, two hundred sixty-three thousand, eight hundred forty".