2542000448 has 56 divisors (see below), whose sum is σ = 5485229568. Its totient is φ = 1161801216.

The previous prime is 2542000441. The next prime is 2542000477. The reversal of 2542000448 is 8440002452.

It is a self number, because there is not a number n which added to its sum of digits gives 2542000448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542000441) 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, 70865 + ... + 100527.

It is an arithmetic number, because the mean of its divisors is an integer number (97950528).

Almost surely, 2^2542000448 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 2542000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742614784).

2542000448 is an abundant number, since it is smaller than the sum of its proper divisors (2943229120).

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

2542000448 is a wasteful number, since it uses less digits than its factorization.

2542000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29791 (or 29781 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

The square root of 2542000448 is about 50418.2551066575. The cubic root of 2542000448 is about 1364.7670885817.

The spelling of 2542000448 in words is "two billion, five hundred forty-two million, four hundred forty-eight", and thus it is an aban number.