2998435440 has 480 divisors, whose sum is σ = 12710186496. Its totient is φ = 574801920.

The previous prime is 2998435439. The next prime is 2998435459. The reversal of 2998435440 is 445348992.

It is a super-3 number, since 3×2998435440³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2998435440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1680789 + ... + 1682571.

Almost surely, 2^2998435440 is an apocalyptic number.

2998435440 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 2998435440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355093248).

2998435440 is an abundant number, since it is smaller than the sum of its proper divisors (9711751056).

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

2998435440 is a wasteful number, since it uses less digits than its factorization.

2998435440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 2998435440 is about 54757.9714744803. The cubic root of 2998435440 is about 1441.9988060442.

The spelling of 2998435440 in words is "two billion, nine hundred ninety-eight million, four hundred thirty-five thousand, four hundred forty".