2440093265064 has 384 divisors, whose sum is σ = 8518445712000. Its totient is φ = 641473717248.

The previous prime is 2440093265063. The next prime is 2440093265081. The reversal of 2440093265064 is 4605623900442.

2440093265064 is a `hidden beast` number, since 2 + 440 + 0 + 93 + 2 + 65 + 0 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (2440093265063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43037967 + ... + 43094625.

It is an arithmetic number, because the mean of its divisors is an integer number (22183452375).

Almost surely, 2^{2440093265064} is an apocalyptic number.

2440093265064 is a gapful number since it is divisible by the number (24) 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 2440093265064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259222856000).

2440093265064 is an abundant number, since it is smaller than the sum of its proper divisors (6078352446936).

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

2440093265064 is a wasteful number, since it uses less digits than its factorization.

2440093265064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57014 (or 56997 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 2440093265064 in words is "two trillion, four hundred forty billion, ninety-three million, two hundred sixty-five thousand, sixty-four".