2640416540 has 48 divisors (see below), whose sum is σ = 5981859072. Its totient is φ = 975277056.

The previous prime is 2640416539. The next prime is 2640416543. The reversal of 2640416540 is 456140462.

2640416540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2640416497 and 2640416506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640416543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55244 + ... + 91283.

It is an arithmetic number, because the mean of its divisors is an integer number (124622064).

Almost surely, 2^2640416540 is an apocalyptic number.

2640416540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2640416540 is an abundant number, since it is smaller than the sum of its proper divisors (3341442532).

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

2640416540 is a wasteful number, since it uses less digits than its factorization.

2640416540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146606 (or 146604 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2640416540 is about 51384.9836041620. The cubic root of 2640416540 is about 1382.1573307577.

The spelling of 2640416540 in words is "two billion, six hundred forty million, four hundred sixteen thousand, five hundred forty".