2540608346512 has 80 divisors (see below), whose sum is σ = 5208706621440. Its totient is φ = 1198523289600.

The previous prime is 2540608346449. The next prime is 2540608346519. The reversal of 2540608346512 is 2156438060452.

It is a happy number.

It is a super-2 number, since 2×2540608346512² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2540608346519) 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, 30238353 + ... + 30322255.

It is an arithmetic number, because the mean of its divisors is an integer number (65108832768).

Almost surely, 2^{2540608346512} 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 2540608346512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604353310720).

2540608346512 is an abundant number, since it is smaller than the sum of its proper divisors (2668098274928).

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

2540608346512 is a wasteful number, since it uses less digits than its factorization.

2540608346512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85472 (or 85466 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 2540608346512 in words is "two trillion, five hundred forty billion, six hundred eight million, three hundred forty-six thousand, five hundred twelve".