2540577504753 has 16 divisors (see below), whose sum is σ = 3927462810240. Its totient is φ = 1620078408432.

The previous prime is 2540577504749. The next prime is 2540577504757. The reversal of 2540577504753 is 3574057750452.

2540577504753 is a `hidden beast` number, since 2 + 54 + 0 + 5 + 77 + 50 + 475 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (2540577504749) and next prime (2540577504757).

It is not a de Polignac number, because 2540577504753 - 2² = 2540577504749 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2540577504753.

It is not an unprimeable number, because it can be changed into a prime (2540577504757) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2045552926 + ... + 2045554167.

It is an arithmetic number, because the mean of its divisors is an integer number (245466425640).

Almost surely, 2^{2540577504753} is an apocalyptic number.

2540577504753 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2540577504753 is a deficient number, since it is larger than the sum of its proper divisors (1386885305487).

2540577504753 is a wasteful number, since it uses less digits than its factorization.

2540577504753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091107125 (or 4091107119 counting only the distinct ones).

The product of its (nonzero) digits is 20580000, while the sum is 54.

The spelling of 2540577504753 in words is "two trillion, five hundred forty billion, five hundred seventy-seven million, five hundred four thousand, seven hundred fifty-three".