2984998401 has 192 divisors, whose sum is σ = 5980815360. Its totient is φ = 1388016000.

The previous prime is 2984998369. The next prime is 2984998417. The reversal of 2984998401 is 1048994892.

2984998401 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2984998401 - 2⁵ = 2984998369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2984990401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28980516 + ... + 28980618.

It is an arithmetic number, because the mean of its divisors is an integer number (31150080).

Almost surely, 2^2984998401 is an apocalyptic number.

2984998401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2984998401 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2984998401 is a wasteful number, since it uses less digits than its factorization.

2984998401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 2984998401 is about 54635.1388851534. The cubic root of 2984998401 is about 1439.8415465116.

The spelling of 2984998401 in words is "two billion, nine hundred eighty-four million, nine hundred ninety-eight thousand, four hundred one".