2541213610650 has 288 divisors, whose sum is σ = 8070236096832. Its totient is φ = 565172121600.

The previous prime is 2541213610633. The next prime is 2541213610679. The reversal of 2541213610650 is 560163121452.

2541213610650 is a `hidden beast` number, since 2 + 5 + 412 + 136 + 106 + 5 + 0 = 666.

It is a super-2 number, since 2×2541213610650² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10367914 + ... + 10610186.

It is an arithmetic number, because the mean of its divisors is an integer number (28021653114).

Almost surely, 2^{2541213610650} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541213610650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4035118048416).

2541213610650 is an abundant number, since it is smaller than the sum of its proper divisors (5529022486182).

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

2541213610650 is a wasteful number, since it uses less digits than its factorization.

2541213610650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242478 (or 242470 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2541213610650 in words is "two trillion, five hundred forty-one billion, two hundred thirteen million, six hundred ten thousand, six hundred fifty".