2542131643644 has 72 divisors (see below), whose sum is σ = 6434188356960. Its totient is φ = 846290468352.

The previous prime is 2542131643637. The next prime is 2542131643673. The reversal of 2542131643644 is 4463461312452.

2542131643644 is a `hidden beast` number, since 2 + 5 + 42 + 131 + 6 + 436 + 44 = 666.

It is a super-2 number, since 2×2542131643644² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2542131643644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268180897 + ... + 268190375.

It is an arithmetic number, because the mean of its divisors is an integer number (89363727180).

Almost surely, 2^{2542131643644} is an apocalyptic number.

It is an amenable number.

2542131643644 is an abundant number, since it is smaller than the sum of its proper divisors (3892056713316).

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

2542131643644 is a wasteful number, since it uses less digits than its factorization.

2542131643644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18259 (or 18254 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The spelling of 2542131643644 in words is "two trillion, five hundred forty-two billion, one hundred thirty-one million, six hundred forty-three thousand, six hundred forty-four".