2545920 has 216 divisors, whose sum is σ = 10044216. Its totient is φ = 589824.

The previous prime is 2545919. The next prime is 2545927. The reversal of 2545920 is 295452.

2545920 = 9³ + 10³ + ... + 56³.

It can be written as a sum of positive squares in 4 ways, for example, as 186624 + 2359296 = 432^2 + 1536^2 .

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149752 + ... + 149768.

It is an arithmetic number, because the mean of its divisors is an integer number (46501).

2^2545920 is an apocalyptic number.

2545920 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 2545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5022108).

2545920 is an abundant number, since it is smaller than the sum of its proper divisors (7498296).

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

2545920 is a wasteful number, since it uses less digits than its factorization.

2545920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2545920 is about 1595.5939333051. The cubic root of 2545920 is about 136.5468180583.

The spelling of 2545920 in words is "two million, five hundred forty-five thousand, nine hundred twenty".