2954580048 has 240 divisors, whose sum is σ = 9884784000. Its totient is φ = 823011840.

The previous prime is 2954580043. The next prime is 2954580053. The reversal of 2954580048 is 8400854592.

2954580048 is a `hidden beast` number, since 29 + 5 + 4 + 580 + 0 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (2954580043) and next prime (2954580053).

It is a junction number, because it is equal to n+sod(n) for n = 2954579985 and 2954580012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2954580043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2024343 + ... + 2025801.

It is an arithmetic number, because the mean of its divisors is an integer number (41186600).

Almost surely, 2^2954580048 is an apocalyptic number.

2954580048 is a gapful number since it is divisible by the number (28) 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 2954580048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4942392000).

2954580048 is an abundant number, since it is smaller than the sum of its proper divisors (6930203952).

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

2954580048 is a wasteful number, since it uses less digits than its factorization.

2954580048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2954580048 is about 54356.0488630290. The cubic root of 2954580048 is about 1434.9339807026.

The spelling of 2954580048 in words is "two billion, nine hundred fifty-four million, five hundred eighty thousand, forty-eight".