2484757560 has 128 divisors (see below), whose sum is σ = 7561382400. Its totient is φ = 653145600.

The previous prime is 2484757559. The next prime is 2484757579. The reversal of 2484757560 is 657574842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5320447 + ... + 5320913.

It is an arithmetic number, because the mean of its divisors is an integer number (59073300).

Almost surely, 2^2484757560 is an apocalyptic number.

2484757560 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 2484757560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780691200).

2484757560 is an abundant number, since it is smaller than the sum of its proper divisors (5076624840).

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

2484757560 is a wasteful number, since it uses less digits than its factorization.

2484757560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The square root of 2484757560 is about 49847.3425570511. The cubic root of 2484757560 is about 1354.4448936461. Note that the first 3 decimals are identical.

The spelling of 2484757560 in words is "two billion, four hundred eighty-four million, seven hundred fifty-seven thousand, five hundred sixty".