2462755132560 has 160 divisors (see below), whose sum is σ = 7763359006080. Its totient is φ = 645663744000.

The previous prime is 2462755132511. The next prime is 2462755132561. The reversal of 2462755132560 is 652315572642.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2462755132561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 31861960 + ... + 31939160.

It is an arithmetic number, because the mean of its divisors is an integer number (48520993788).

Almost surely, 2^{2462755132560} is an apocalyptic number.

2462755132560 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 2462755132560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881679503040).

2462755132560 is an abundant number, since it is smaller than the sum of its proper divisors (5300603873520).

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

2462755132560 is a wasteful number, since it uses less digits than its factorization.

2462755132560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79457 (or 79451 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 2462755132560 in words is "two trillion, four hundred sixty-two billion, seven hundred fifty-five million, one hundred thirty-two thousand, five hundred sixty".