2542733468928 has 576 divisors, whose sum is σ = 8191697920000. Its totient is φ = 775042007040.

The previous prime is 2542733468923. The next prime is 2542733468939. The reversal of 2542733468928 is 8298643372452.

2542733468928 is a `hidden beast` number, since 2 + 54 + 2 + 7 + 33 + 468 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542733468923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2520052488 + ... + 2520053496.

Almost surely, 2^{2542733468928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542733468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095848960000).

2542733468928 is an abundant number, since it is smaller than the sum of its proper divisors (5648964451072).

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

2542733468928 is a wasteful number, since it uses less digits than its factorization.

2542733468928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1683 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 2542733468928 in words is "two trillion, five hundred forty-two billion, seven hundred thirty-three million, four hundred sixty-eight thousand, nine hundred twenty-eight".