2547457920 has 768 divisors, whose sum is σ = 10906721280. Its totient is φ = 535265280.

The previous prime is 2547457909. The next prime is 2547457921. The reversal of 2547457920 is 297547452.

2547457920 is a `hidden beast` number, since 2 + 5 + 4 + 74 + 579 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2547457921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38021727 + ... + 38021793.

It is an arithmetic number, because the mean of its divisors is an integer number (14201460).

Almost surely, 2^2547457920 is an apocalyptic number.

2547457920 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 2547457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453360640).

2547457920 is an abundant number, since it is smaller than the sum of its proper divisors (8359263360).

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

2547457920 is a wasteful number, since it uses less digits than its factorization.

2547457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2547457920 is about 50472.3480729795. The cubic root of 2547457920 is about 1365.7430724520.

The spelling of 2547457920 in words is "two billion, five hundred forty-seven million, four hundred fifty-seven thousand, nine hundred twenty".