2988393408 has 672 divisors, whose sum is σ = 11822533632. Its totient is φ = 696729600.

The previous prime is 2988393391. The next prime is 2988393409. The reversal of 2988393408 is 8043938892.

It is a happy number.

2988393408 is a `hidden beast` number, since 298 + 8 + 3 + 9 + 340 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2988393409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40936860 + ... + 40936932.

It is an arithmetic number, because the mean of its divisors is an integer number (17593056).

Almost surely, 2^2988393408 is an apocalyptic number.

2988393408 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 2988393408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911266816).

2988393408 is an abundant number, since it is smaller than the sum of its proper divisors (8834140224).

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

2988393408 is a wasteful number, since it uses less digits than its factorization.

2988393408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2988393408 is about 54666.1998679257. The cubic root of 2988393408 is about 1440.3872106860.

The spelling of 2988393408 in words is "two billion, nine hundred eighty-eight million, three hundred ninety-three thousand, four hundred eight".