2542735632 has 80 divisors (see below), whose sum is σ = 6728997888. Its totient is φ = 827074560.

The previous prime is 2542735619. The next prime is 2542735649. The reversal of 2542735632 is 2365372452.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483288 + ... + 488520.

Almost surely, 2^2542735632 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 2542735632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3364498944).

2542735632 is an abundant number, since it is smaller than the sum of its proper divisors (4186262256).

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

2542735632 is a wasteful number, since it uses less digits than its factorization.

2542735632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5482 counting only the distinct ones).

The product of its digits is 302400, while the sum is 39.

The square root of 2542735632 is about 50425.5454308627. The cubic root of 2542735632 is about 1364.8986461529.

The spelling of 2542735632 in words is "two billion, five hundred forty-two million, seven hundred thirty-five thousand, six hundred thirty-two".