2948773621248 has 800 divisors, whose sum is σ = 11010824637120. Its totient is φ = 764889661440.

The previous prime is 2948773621163. The next prime is 2948773621259. The reversal of 2948773621248 is 8421263778492.

It is a happy number.

2948773621248 is a `hidden beast` number, since 2 + 9 + 487 + 73 + 62 + 1 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 230204668 + ... + 230217476.

Almost surely, 2^{2948773621248} is an apocalyptic number.

2948773621248 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 2948773621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505412318560).

2948773621248 is an abundant number, since it is smaller than the sum of its proper divisors (8062051015872).

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

2948773621248 is a wasteful number, since it uses less digits than its factorization.

2948773621248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12920 (or 12895 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 2948773621248 in words is "two trillion, nine hundred forty-eight billion, seven hundred seventy-three million, six hundred twenty-one thousand, two hundred forty-eight".