2763644640 has 48 divisors (see below), whose sum is σ = 8705482128. Its totient is φ = 736971776.

The previous prime is 2763644633. The next prime is 2763644659. The reversal of 2763644640 is 464463672.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2763644592 and 2763644601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2878317 + ... + 2879276.

It is an arithmetic number, because the mean of its divisors is an integer number (181364211).

Almost surely, 2^2763644640 is an apocalyptic number.

2763644640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2763644640 is an abundant number, since it is smaller than the sum of its proper divisors (5941837488).

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

2763644640 is a wasteful number, since it uses less digits than its factorization.

2763644640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757611 (or 5757603 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The square root of 2763644640 is about 52570.3779708687. The cubic root of 2763644640 is about 1403.3329840286.

The spelling of 2763644640 in words is "two billion, seven hundred sixty-three million, six hundred forty-four thousand, six hundred forty".