2440120697280 has 3136 divisors, whose sum is σ = 11257683148800. Its totient is φ = 490985349120.

The previous prime is 2440120697279. The next prime is 2440120697393. The reversal of 2440120697280 is 827960210442.

2440120697280 is a `hidden beast` number, since 2 + 440 + 1 + 2 + 0 + 69 + 72 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 41357977891 + ... + 41357977949.

Almost surely, 2^{2440120697280} is an apocalyptic number.

2440120697280 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 2440120697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628841574400).

2440120697280 is an abundant number, since it is smaller than the sum of its proper divisors (8817562451520).

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

2440120697280 is a wasteful number, since it uses less digits than its factorization.

2440120697280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2440120697280 in words is "two trillion, four hundred forty billion, one hundred twenty million, six hundred ninety-seven thousand, two hundred eighty".