2488154760 has 768 divisors, whose sum is σ = 10787212800. Its totient is φ = 501645312.

The previous prime is 2488154759. The next prime is 2488154771. The reversal of 2488154760 is 674518842.

2488154760 is a `hidden beast` number, since 2 + 48 + 8 + 1 + 547 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25651032 + ... + 25651128.

It is an arithmetic number, because the mean of its divisors is an integer number (14045850).

Almost surely, 2^2488154760 is an apocalyptic number.

2488154760 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 2488154760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393606400).

2488154760 is an abundant number, since it is smaller than the sum of its proper divisors (8299058040).

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

2488154760 is a wasteful number, since it uses less digits than its factorization.

2488154760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2488154760 is about 49881.4069569013. The cubic root of 2488154760 is about 1355.0618854013.

The spelling of 2488154760 in words is "two billion, four hundred eighty-eight million, one hundred fifty-four thousand, seven hundred sixty".