2532841920 has 224 divisors, whose sum is σ = 10212019200. Its totient is φ = 578921472.

The previous prime is 2532841897. The next prime is 2532841921. The reversal of 2532841920 is 291482352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532841921) 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, 39541 + ... + 81419.

Almost surely, 2^2532841920 is an apocalyptic number.

2532841920 is a gapful number since it is divisible by the number (20) 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 2532841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106009600).

2532841920 is an abundant number, since it is smaller than the sum of its proper divisors (7679177280).

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

2532841920 is a wasteful number, since it uses less digits than its factorization.

2532841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41912 (or 41896 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2532841920 is about 50327.3476352569. The cubic root of 2532841920 is about 1363.1260845659.

The spelling of 2532841920 in words is "two billion, five hundred thirty-two million, eight hundred forty-one thousand, nine hundred twenty".