2542651506241 has 32 divisors (see below), whose sum is σ = 3194455080960. Its totient is φ = 1966090147200.

The previous prime is 2542651506233. The next prime is 2542651506259. The reversal of 2542651506241 is 1426051562452.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2542651506241 - 2³ = 2542651506233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2542651506221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5803810 + ... + 6226516.

It is an arithmetic number, because the mean of its divisors is an integer number (99826721280).

Almost surely, 2^{2542651506241} is an apocalyptic number.

It is an amenable number.

2542651506241 is a deficient number, since it is larger than the sum of its proper divisors (651803574719).

2542651506241 is a wasteful number, since it uses less digits than its factorization.

2542651506241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423325.

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 2542651506241 in words is "two trillion, five hundred forty-two billion, six hundred fifty-one million, five hundred six thousand, two hundred forty-one".