2640405237120 has 640 divisors, whose sum is σ = 10791503173440. Its totient is φ = 602676412416.

The previous prime is 2640405237047. The next prime is 2640405237121. The reversal of 2640405237120 is 217325040462.

2640405237120 is a `hidden beast` number, since 2 + 6 + 4 + 0 + 4 + 0 + 523 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640405237121) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 280501534 + ... + 280510946.

Almost surely, 2^{2640405237120} is an apocalyptic number.

2640405237120 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 2640405237120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5395751586720).

2640405237120 is an abundant number, since it is smaller than the sum of its proper divisors (8151097936320).

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

2640405237120 is an equidigital number, since it uses as much as digits as its factorization.

2640405237120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10224 (or 10203 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 2640405237120 in words is "two trillion, six hundred forty billion, four hundred five million, two hundred thirty-seven thousand, one hundred twenty".