2938538880 has 384 divisors, whose sum is σ = 10866623040. Its totient is φ = 729907200.

The previous prime is 2938538851. The next prime is 2938538881. The reversal of 2938538880 is 888358392.

2938538880 is a `hidden beast` number, since 29 + 3 + 8 + 538 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938538881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5431410 + ... + 5431950.

Almost surely, 2^2938538880 is an apocalyptic number.

2938538880 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 2938538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433311520).

2938538880 is an abundant number, since it is smaller than the sum of its proper divisors (7928084160).

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

2938538880 is a wasteful number, since it uses less digits than its factorization.

2938538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 2938538880 is about 54208.2916166890. The cubic root of 2938538880 is about 1432.3323926961.

It can be divided in two parts, 29385 and 38880, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 2938538880 in words is "two billion, nine hundred thirty-eight million, five hundred thirty-eight thousand, eight hundred eighty".