2985338462400 has 1680 divisors, whose sum is σ = 13224377960640. Its totient is φ = 646100582400.

The previous prime is 2985338462377. The next prime is 2985338462417. The reversal of 2985338462400 is 42648335892.

2985338462400 is a `hidden beast` number, since 2 + 9 + 8 + 5 + 3 + 3 + 8 + 4 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1394365330 + ... + 1394367470.

It is an arithmetic number, because the mean of its divisors is an integer number (7871653548).

Almost surely, 2^{2985338462400} is an apocalyptic number.

2985338462400 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 2985338462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6612188980320).

2985338462400 is an abundant number, since it is smaller than the sum of its proper divisors (10239039498240).

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

2985338462400 is a wasteful number, since it uses less digits than its factorization.

2985338462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2985338462400 in words is "two trillion, nine hundred eighty-five billion, three hundred thirty-eight million, four hundred sixty-two thousand, four hundred".