2640464120448 has 2048 divisors, whose sum is σ = 10521308160000. Its totient is φ = 632073093120.

The previous prime is 2640464120387. The next prime is 2640464120471. The reversal of 2640464120448 is 8440214640462.

2640464120448 is a `hidden beast` number, since 2 + 6 + 40 + 46 + 4 + 120 + 448 = 666.

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 255 ways as a sum of consecutive naturals, for example, 24224441418 + ... + 24224441526.

It is an arithmetic number, because the mean of its divisors is an integer number (5137357500).

Almost surely, 2^{2640464120448} is an apocalyptic number.

2640464120448 is a gapful number since it is divisible by the number (28) 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 2640464120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5260654080000).

2640464120448 is an abundant number, since it is smaller than the sum of its proper divisors (7880844039552).

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

2640464120448 is a wasteful number, since it uses less digits than its factorization.

2640464120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 2640464120448 in words is "two trillion, six hundred forty billion, four hundred sixty-four million, one hundred twenty thousand, four hundred forty-eight".