2938980408 has 256 divisors, whose sum is σ = 9555840000. Its totient is φ = 747597312.

The previous prime is 2938980403. The next prime is 2938980413. The reversal of 2938980408 is 8040898392.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2938980403) and next prime (2938980413).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938980403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3102991 + ... + 3103937.

It is an arithmetic number, because the mean of its divisors is an integer number (37327500).

Almost surely, 2^2938980408 is an apocalyptic number.

2938980408 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 2938980408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777920000).

2938980408 is an abundant number, since it is smaller than the sum of its proper divisors (6616859592).

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

2938980408 is a wasteful number, since it uses less digits than its factorization.

2938980408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The square root of 2938980408 is about 54212.3639772331. The cubic root of 2938980408 is about 1432.4041271204.

The spelling of 2938980408 in words is "two billion, nine hundred thirty-eight million, nine hundred eighty thousand, four hundred eight".