2948145984 has 504 divisors, whose sum is σ = 10798332480. Its totient is φ = 779341824.

The previous prime is 2948145983. The next prime is 2948145997. The reversal of 2948145984 is 4895418492.

It is a happy number.

2948145984 is a `hidden beast` number, since 2 + 9 + 48 + 1 + 4 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2948145984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948145983) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49968547 + ... + 49968605.

Almost surely, 2^2948145984 is an apocalyptic number.

2948145984 is a gapful number since it is divisible by the number (24) 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 2948145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399166240).

2948145984 is an abundant number, since it is smaller than the sum of its proper divisors (7850186496).

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

2948145984 is an frugal number, since it uses more digits than its factorization.

2948145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 2948145984 is about 54296.8321727889. The cubic root of 2948145984 is about 1433.8916253596.

The spelling of 2948145984 in words is "two billion, nine hundred forty-eight million, one hundred forty-five thousand, nine hundred eighty-four".