2541689246720 has 528 divisors, whose sum is σ = 7017641505840. Its totient is φ = 877884604416.

The previous prime is 2541689246683. The next prime is 2541689246791. The reversal of 2541689246720 is 276429861452.

It can be written as a sum of positive squares in 24 ways, for example, as 53069415424 + 2488619831296 = 230368^2 + 1577536^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4405007072 + ... + 4405007648.

Almost surely, 2^{2541689246720} is an apocalyptic number.

2541689246720 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 2541689246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508820752920).

2541689246720 is an abundant number, since it is smaller than the sum of its proper divisors (4475952259120).

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

2541689246720 is a wasteful number, since it uses less digits than its factorization.

2541689246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 2541689246720 in words is "two trillion, five hundred forty-one billion, six hundred eighty-nine million, two hundred forty-six thousand, seven hundred twenty".