2955540480 has 384 divisors, whose sum is σ = 10189670400. Its totient is φ = 729546752.

The previous prime is 2955540461. The next prime is 2955540487. The reversal of 2955540480 is 840455592.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2955540487) 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 31 ways as a sum of consecutive naturals, for example, 33208276 + ... + 33208364.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 2^2955540480 is an apocalyptic number.

2955540480 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 2955540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

2955540480 is an abundant number, since it is smaller than the sum of its proper divisors (7234129920).

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

2955540480 is a wasteful number, since it uses less digits than its factorization.

2955540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 2955540480 is about 54364.8827829142. The cubic root of 2955540480 is about 1435.0894463623.

The spelling of 2955540480 in words is "two billion, nine hundred fifty-five million, five hundred forty thousand, four hundred eighty".