2542451125050 has 576 divisors, whose sum is σ = 7536511382400. Its totient is φ = 612889804800.

The previous prime is 2542451125043. The next prime is 2542451125057. The reversal of 2542451125050 is 505211542452.

2542451125050 is a `hidden beast` number, since 2 + 5 + 42 + 4 + 511 + 2 + 50 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (2542451125043) and next prime (2542451125057).

It is a junction number, because it is equal to n+sod(n) for n = 2542451124996 and 2542451125014.

It is not an unprimeable number, because it can be changed into a prime (2542451125057) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1357420914 + ... + 1357422786.

It is an arithmetic number, because the mean of its divisors is an integer number (13084221150).

Almost surely, 2^{2542451125050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542451125050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768255691200).

2542451125050 is an abundant number, since it is smaller than the sum of its proper divisors (4994060257350).

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

2542451125050 is a wasteful number, since it uses less digits than its factorization.

2542451125050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The spelling of 2542451125050 in words is "two trillion, five hundred forty-two billion, four hundred fifty-one million, one hundred twenty-five thousand, fifty".