2540758570452 has 192 divisors, whose sum is σ = 6735782914560. Its totient is φ = 828030947328.

The previous prime is 2540758570451. The next prime is 2540758570457.

It is a happy number.

2540758570452 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 7 + 585 + 7 + 0 + 4 + 52 = 666.

2540758570452 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2540758570452² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540758570451) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1061744968 + ... + 1061747360.

It is an arithmetic number, because the mean of its divisors is an integer number (35082202680).

Almost surely, 2^{2540758570452} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540758570452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3367891457280).

2540758570452 is an abundant number, since it is smaller than the sum of its proper divisors (4195024344108).

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

2540758570452 is a wasteful number, since it uses less digits than its factorization.

2540758570452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 15680000, while the sum is 54.

The spelling of 2540758570452 in words is "two trillion, five hundred forty billion, seven hundred fifty-eight million, five hundred seventy thousand, four hundred fifty-two".