2540727205020 has 72 divisors (see below), whose sum is σ = 7894845045360. Its totient is φ = 661002197760.

The previous prime is 2540727205013. The next prime is 2540727205021. The reversal of 2540727205020 is 205027270452.

2540727205020 is a `hidden beast` number, since 2 + 5 + 407 + 27 + 205 + 0 + 20 = 666.

It is a super-2 number, since 2×2540727205020² (a number of 26 digits) contains 22 as substring.

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 (2540727205021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172128610 + ... + 172143369.

It is an arithmetic number, because the mean of its divisors is an integer number (109650625630).

Almost surely, 2^{2540727205020} is an apocalyptic number.

2540727205020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540727205020 is an abundant number, since it is smaller than the sum of its proper divisors (5354117840340).

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

2540727205020 is a wasteful number, since it uses less digits than its factorization.

2540727205020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344272035 (or 344272030 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 2540727205020 in words is "two trillion, five hundred forty billion, seven hundred twenty-seven million, two hundred five thousand, twenty".