2488133376 has 432 divisors, whose sum is σ = 8142511104. Its totient is φ = 755453952.

The previous prime is 2488133363. The next prime is 2488133393. The reversal of 2488133376 is 6733318842.

2488133376 is a `hidden beast` number, since 2 + 488 + 133 + 37 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

Its product of digits (580608) is a multiple of the sum of its prime divisors (112).

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 47 ways as a sum of consecutive naturals, for example, 52938985 + ... + 52939031.

Almost surely, 2^2488133376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2488133376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4071255552).

2488133376 is an abundant number, since it is smaller than the sum of its proper divisors (5654377728).

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

2488133376 is an equidigital number, since it uses as much as digits as its factorization.

2488133376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 112 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2488133376 is about 49881.1926080361. The cubic root of 2488133376 is about 1355.0580034447.

The spelling of 2488133376 in words is "two billion, four hundred eighty-eight million, one hundred thirty-three thousand, three hundred seventy-six".