2541889392 has 160 divisors (see below), whose sum is σ = 7783501824. Its totient is φ = 699494400.

The previous prime is 2541889387. The next prime is 2541889393. The reversal of 2541889392 is 2939881452.

It is a super-2 number, since 2×2541889392² = 12922403362324259328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2541889393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2884792 + ... + 2885672.

Almost surely, 2^2541889392 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 2541889392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3891750912).

2541889392 is an abundant number, since it is smaller than the sum of its proper divisors (5241612432).

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

2541889392 is a wasteful number, since it uses less digits than its factorization.

2541889392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1201 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 2541889392 is about 50417.1537475094. The cubic root of 2541889392 is about 1364.7472134500.

The spelling of 2541889392 in words is "two billion, five hundred forty-one million, eight hundred eighty-nine thousand, three hundred ninety-two".