2983988030400 has 2520 divisors, whose sum is σ = 12980282385840. Its totient is φ = 666471628800.

The previous prime is 2983988030377. The next prime is 2983988030477. The reversal of 2983988030400 is 40308893892.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 30762763152 + ... + 30762763248.

Almost surely, 2^{2983988030400} is an apocalyptic number.

2983988030400 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 2983988030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6490141192920).

2983988030400 is an abundant number, since it is smaller than the sum of its proper divisors (9996294355440).

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

2983988030400 is a wasteful number, since it uses less digits than its factorization.

2983988030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 170 counting only the distinct ones).

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

The spelling of 2983988030400 in words is "two trillion, nine hundred eighty-three billion, nine hundred eighty-eight million, thirty thousand, four hundred".