2938583648 has 192 divisors, whose sum is σ = 7823692800. Its totient is φ = 1049241600.

The previous prime is 2938583639. The next prime is 2938583663. The reversal of 2938583648 is 8463858392.

2938583648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 2938583593 and 2938583602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6374138 + ... + 6374598.

It is an arithmetic number, because the mean of its divisors is an integer number (40748400).

Almost surely, 2^2938583648 is an apocalyptic number.

2938583648 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 2938583648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911846400).

2938583648 is an abundant number, since it is smaller than the sum of its proper divisors (4885109152).

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

2938583648 is a wasteful number, since it uses less digits than its factorization.

2938583648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 693 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 56.

The square root of 2938583648 is about 54208.7045408761. The cubic root of 2938583648 is about 1432.3396664165.

The spelling of 2938583648 in words is "two billion, nine hundred thirty-eight million, five hundred eighty-three thousand, six hundred forty-eight".