2664162540 has 144 divisors (see below), whose sum is σ = 8833345248. Its totient is φ = 645967872.

The previous prime is 2664162509. The next prime is 2664162551. The reversal of 2664162540 is 452614662.

2664162540 is a `hidden beast` number, since 2 + 6 + 641 + 6 + 2 + 5 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2664162495 and 2664162504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148284 + ... + 165276.

Almost surely, 2^2664162540 is an apocalyptic number.

2664162540 is a gapful number since it is divisible by the number (20) 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 2664162540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416672624).

2664162540 is an abundant number, since it is smaller than the sum of its proper divisors (6169182708).

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

2664162540 is a wasteful number, since it uses less digits than its factorization.

2664162540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17088 (or 17083 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2664162540 is about 51615.5261525057. The cubic root of 2664162540 is about 1386.2883466466.

The spelling of 2664162540 in words is "two billion, six hundred sixty-four million, one hundred sixty-two thousand, five hundred forty".