2546445441540 has 576 divisors, whose sum is σ = 9892209438720. Its totient is φ = 472662604800.

The previous prime is 2546445441503. The next prime is 2546445441557. The reversal of 2546445441540 is 451445446452.

It is a self number, because there is not a number n which added to its sum of digits gives 2546445441540.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57695601 + ... + 57739719.

It is an arithmetic number, because the mean of its divisors is an integer number (17173974720).

Almost surely, 2^{2546445441540} is an apocalyptic number.

2546445441540 is a gapful number since it is divisible by the number (20) 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 2546445441540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4946104719360).

2546445441540 is an abundant number, since it is smaller than the sum of its proper divisors (7345763997180).

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

2546445441540 is a wasteful number, since it uses less digits than its factorization.

2546445441540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44224 (or 44191 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 48.

The spelling of 2546445441540 in words is "two trillion, five hundred forty-six billion, four hundred forty-five million, four hundred forty-one thousand, five hundred forty".