2542320232452 has 432 divisors, whose sum is σ = 8700719279616. Its totient is φ = 609065740800.

The previous prime is 2542320232423. The next prime is 2542320232471.

2542320232452 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 320 + 2 + 324 + 5 + 2 = 666.

2542320232452 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 969979702 + ... + 969982322.

It is an arithmetic number, because the mean of its divisors is an integer number (20140553888).

Almost surely, 2^{2542320232452} is an apocalyptic number.

2542320232452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2542320232452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350359639808).

2542320232452 is an abundant number, since it is smaller than the sum of its proper divisors (6158399047164).

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

2542320232452 is a wasteful number, since it uses less digits than its factorization.

2542320232452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 2542320 and 232452, that added together give a palindrome (2774772).

The spelling of 2542320232452 in words is "two trillion, five hundred forty-two billion, three hundred twenty million, two hundred thirty-two thousand, four hundred fifty-two".