2948924416 has 33 divisors (see below), whose sum is σ = 5898444829. Its totient is φ = 1473593344.

The previous prime is 2948924401. The next prime is 2948924483. The reversal of 2948924416 is 6144298492.

It is a happy number.

The square root of 2948924416 is 54304.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2838758400 + 110166016 = 53280^2 + 10496^2 .

It is a super-2 number, since 2×2948924416² = 17392310422561882112, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2948924416.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 1736880 + ... + 1738576.

Almost surely, 2^2948924416 is an apocalyptic number.

2948924416 is the 54304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2948924416

2948924416 is an abundant number, since it is smaller than the sum of its proper divisors (2949520413).

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

2948924416 is an frugal number, since it uses more digits than its factorization.

2948924416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 1699 counting only the distinct ones).

The product of its digits is 995328, while the sum is 49.

The cubic root of 2948924416 is about 1434.0178164083.

Multiplying 2948924416 by its sum of digits (49), we get a square (144497296384 = 380128²).

The spelling of 2948924416 in words is "two billion, nine hundred forty-eight million, nine hundred twenty-four thousand, four hundred sixteen".