2988733440 has 792 divisors, whose sum is σ = 12802953312. Its totient is φ = 588349440.

The previous prime is 2988733411. The next prime is 2988733453. The reversal of 2988733440 is 443378892.

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 2988733440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157301751 + ... + 157301769.

Almost surely, 2^2988733440 is an apocalyptic number.

2988733440 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 2988733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401476656).

2988733440 is an abundant number, since it is smaller than the sum of its proper divisors (9814219872).

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

2988733440 is a wasteful number, since it uses less digits than its factorization.

2988733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 2988733440 is about 54669.3098547988. The cubic root of 2988733440 is about 1440.4418397237.

The spelling of 2988733440 in words is "two billion, nine hundred eighty-eight million, seven hundred thirty-three thousand, four hundred forty".