2954004480 has 576 divisors, whose sum is σ = 12367555200. Its totient is φ = 637009920.

The previous prime is 2954004479. The next prime is 2954004481. The reversal of 2954004480 is 844004592.

It is an interprime number because it is at equal distance from previous prime (2954004479) and next prime (2954004481).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×2954004480² = 17452284935720140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2954004481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12257160 + ... + 12257400.

It is an arithmetic number, because the mean of its divisors is an integer number (21471450).

Almost surely, 2^2954004480 is an apocalyptic number.

2954004480 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 2954004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183777600).

2954004480 is an abundant number, since it is smaller than the sum of its proper divisors (9413550720).

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

2954004480 is a wasteful number, since it uses less digits than its factorization.

2954004480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2954004480 is about 54350.7541805999. The cubic root of 2954004480 is about 1434.8407970460.

The spelling of 2954004480 in words is "two billion, nine hundred fifty-four million, four thousand, four hundred eighty".