2938582080 has 336 divisors, whose sum is σ = 11719828224. Its totient is φ = 661893120.

The previous prime is 2938582061. The next prime is 2938582099. The reversal of 2938582080 is 802858392.

It is an interprime number because it is at equal distance from previous prime (2938582061) and next prime (2938582099).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1430334 + ... + 1432386.

Almost surely, 2^2938582080 is an apocalyptic number.

2938582080 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 2938582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859914112).

2938582080 is an abundant number, since it is smaller than the sum of its proper divisors (8781246144).

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

2938582080 is a wasteful number, since it uses less digits than its factorization.

2938582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2938582080 is about 54208.6900782522. The cubic root of 2938582080 is about 1432.3394116556.

The spelling of 2938582080 in words is "two billion, nine hundred thirty-eight million, five hundred eighty-two thousand, eighty".