2484158976 has 320 divisors, whose sum is σ = 8276970240. Its totient is φ = 729907200.

The previous prime is 2484158969. The next prime is 2484159019. The reversal of 2484158976 is 6798514842.

It is a happy number.

2484158976 is a `hidden beast` number, since 2 + 484 + 15 + 89 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4133076 + ... + 4133676.

It is an arithmetic number, because the mean of its divisors is an integer number (25865532).

Almost surely, 2^2484158976 is an apocalyptic number.

2484158976 is a gapful number since it is divisible by the number (26) 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 2484158976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138485120).

2484158976 is an abundant number, since it is smaller than the sum of its proper divisors (5792811264).

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

2484158976 is a wasteful number, since it uses less digits than its factorization.

2484158976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 642 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 2484158976 is about 49841.3380237730. The cubic root of 2484158976 is about 1354.3361219134.

It can be divided in two parts, 2484 and 158976, that multiplied together give a square (394896384 = 19872²).

The spelling of 2484158976 in words is "two billion, four hundred eighty-four million, one hundred fifty-eight thousand, nine hundred seventy-six".