2937948 has 48 divisors (see below), whose sum is σ = 7596960. Its totient is φ = 877824.

The previous prime is 2937947. The next prime is 2937959. The reversal of 2937948 is 8497392.

2937948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2937948³ = 76077033384506746176, which contains 333 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁷ + 9 + 3 + 7⁷ + 9³ + 4⁷ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2937947) 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 15 ways as a sum of consecutive naturals, for example, 5518 + ... + 6026.

It is an arithmetic number, because the mean of its divisors is an integer number (158270).

2^2937948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2937948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798480).

2937948 is an abundant number, since it is smaller than the sum of its proper divisors (4659012).

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

2937948 is a wasteful number, since it uses less digits than its factorization.

2937948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 2937948 is about 1714.0443401499. The cubic root of 2937948 is about 143.2236382022.

The spelling of 2937948 in words is "two million, nine hundred thirty-seven thousand, nine hundred forty-eight".