2540788871040 has 768 divisors, whose sum is σ = 10640433323520. Its totient is φ = 567235436544.

The previous prime is 2540788871017. The next prime is 2540788871053. The reversal of 2540788871040 is 401788870452.

2540788871040 is a `hidden beast` number, since 2 + 540 + 7 + 8 + 8 + 87 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46784382 + ... + 46838658.

It is an arithmetic number, because the mean of its divisors is an integer number (13854730890).

Almost surely, 2^{2540788871040} is an apocalyptic number.

2540788871040 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 2540788871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320216661760).

2540788871040 is an abundant number, since it is smaller than the sum of its proper divisors (8099644452480).

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

2540788871040 is an equidigital number, since it uses as much as digits as its factorization.

2540788871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54361 (or 54337 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 2540788871040 in words is "two trillion, five hundred forty billion, seven hundred eighty-eight million, eight hundred seventy-one thousand, forty".