2540110648320 has 528 divisors, whose sum is σ = 10431345095808. Its totient is φ = 580594728960.

The previous prime is 2540110648319. The next prime is 2540110648321. The reversal of 2540110648320 is 238460110452.

It is a happy number.

2540110648320 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 1 + 1 + 0 + 648 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2540110648319) and next prime (2540110648321).

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 (2540110648321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8563290 + ... + 8854950.

Almost surely, 2^{2540110648320} is an apocalyptic number.

2540110648320 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 2540110648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5215672547904).

2540110648320 is an abundant number, since it is smaller than the sum of its proper divisors (7891234447488).

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

2540110648320 is an equidigital number, since it uses as much as digits as its factorization.

2540110648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291708 (or 291678 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 2540110648320 its reverse (238460110452), we get a palindrome (2778570758772).

The spelling of 2540110648320 in words is "two trillion, five hundred forty billion, one hundred ten million, six hundred forty-eight thousand, three hundred twenty".