2938041120 has 384 divisors, whose sum is σ = 11107418112. Its totient is φ = 638668800.

The previous prime is 2938041109. The next prime is 2938041143. The reversal of 2938041120 is 211408392.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 6978510 + ... + 6978930.

It is an arithmetic number, because the mean of its divisors is an integer number (28925568).

Almost surely, 2^2938041120 is an apocalyptic number.

2938041120 is a gapful number since it is divisible by the number (20) 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 2938041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553709056).

2938041120 is an abundant number, since it is smaller than the sum of its proper divisors (8169376992).

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

2938041120 is a wasteful number, since it uses less digits than its factorization.

2938041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2938041120 is about 54203.7002426956. The cubic root of 2938041120 is about 1432.2515137218.

It can be divided in two parts, 29380 and 41120, that added together give a triangular number (70500 = T₃₇₅).

The spelling of 2938041120 in words is "two billion, nine hundred thirty-eight million, forty-one thousand, one hundred twenty".