2542368016 has 40 divisors (see below), whose sum is σ = 5090783544. Its totient is φ = 1229168640.

The previous prime is 2542368011. The next prime is 2542368019. The reversal of 2542368016 is 6108632452.

It can be written as a sum of positive squares in 4 ways, for example, as 10265616 + 2532102400 = 3204^2 + 50320^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2542368011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56980 + ... + 91276.

Almost surely, 2^2542368016 is an apocalyptic number.

It is an amenable number.

2542368016 is an abundant number, since it is smaller than the sum of its proper divisors (2548415528).

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

2542368016 is a wasteful number, since it uses less digits than its factorization.

2542368016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34459 (or 34453 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 2542368016 is about 50421.9001625286. The cubic root of 2542368016 is about 1364.8328662429.

It can be divided in two parts, 25423 and 68016, that added together give a palindrome (93439).

The spelling of 2542368016 in words is "two billion, five hundred forty-two million, three hundred sixty-eight thousand, sixteen".