2540424933504 has 320 divisors, whose sum is σ = 8011756229400. Its totient is φ = 797662494720.

The previous prime is 2540424933499. The next prime is 2540424933619. The reversal of 2540424933504 is 4053394240452.

2540424933504 is a `hidden beast` number, since 2 + 54 + 0 + 4 + 2 + 4 + 93 + 3 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1204181411904 + 1336243521600 = 1097352^2 + 1155960^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2540424933504.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12224514 + ... + 12430590.

Almost surely, 2^{2540424933504} is an apocalyptic number.

2540424933504 is a gapful number since it is divisible by the number (24) 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 2540424933504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005878114700).

2540424933504 is an abundant number, since it is smaller than the sum of its proper divisors (5471331295896).

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

2540424933504 is a wasteful number, since it uses less digits than its factorization.

2540424933504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206173 (or 206152 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 2540424933504 in words is "two trillion, five hundred forty billion, four hundred twenty-four million, nine hundred thirty-three thousand, five hundred four".