2536746476352 has 168 divisors, whose sum is σ = 7396433772000. Its totient is φ = 766732200960.

The previous prime is 2536746476321. The next prime is 2536746476353.

2536746476352 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2536746476353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8896899 + ... + 9177597.

It is an arithmetic number, because the mean of its divisors is an integer number (44026391500).

Almost surely, 2^{2536746476352} is an apocalyptic number.

2536746476352 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 2536746476352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698216886000).

2536746476352 is an abundant number, since it is smaller than the sum of its proper divisors (4859687295648).

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

2536746476352 is a wasteful number, since it uses less digits than its factorization.

2536746476352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281125 (or 281104 counting only the distinct ones).

The product of its digits is 152409600, while the sum is 60.

The spelling of 2536746476352 in words is "two trillion, five hundred thirty-six billion, seven hundred forty-six million, four hundred seventy-six thousand, three hundred fifty-two".