2649008305440 has 960 divisors, whose sum is σ = 11283074288640. Its totient is φ = 571763681280.

The previous prime is 2649008305367. The next prime is 2649008305481. The reversal of 2649008305440 is 445038009462.

2649008305440 is a `hidden beast` number, since 26 + 4 + 9 + 0 + 0 + 83 + 0 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 570535759 + ... + 570540401.

It is an arithmetic number, because the mean of its divisors is an integer number (11753202384).

Almost surely, 2^{2649008305440} is an apocalyptic number.

2649008305440 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 2649008305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5641537144320).

2649008305440 is an abundant number, since it is smaller than the sum of its proper divisors (8634065983200).

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

2649008305440 is a wasteful number, since it uses less digits than its factorization.

2649008305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5027 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2649008305440 in words is "two trillion, six hundred forty-nine billion, eight million, three hundred five thousand, four hundred forty".