2664815040 has 168 divisors, whose sum is σ = 9261317520. Its totient is φ = 703217664.

The previous prime is 2664814993. The next prime is 2664815107. The reversal of 2664815040 is 405184662.

2664815040 is a `hidden beast` number, since 2 + 6 + 648 + 1 + 5 + 0 + 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 = 2664814986 and 2664815004.

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 23 ways as a sum of consecutive naturals, for example, 274591 + ... + 284129.

It is an arithmetic number, because the mean of its divisors is an integer number (55126890).

Almost surely, 2^2664815040 is an apocalyptic number.

2664815040 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 2664815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630658760).

2664815040 is an abundant number, since it is smaller than the sum of its proper divisors (6596502480).

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

2664815040 is a wasteful number, since it uses less digits than its factorization.

2664815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9659 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2664815040 is about 51621.8465380695. The cubic root of 2664815040 is about 1386.4015128287.

The spelling of 2664815040 in words is "two billion, six hundred sixty-four million, eight hundred fifteen thousand, forty".