2985420636128 has 96 divisors (see below), whose sum is σ = 6954460950528. Its totient is φ = 1234517760000.

The previous prime is 2985420636101. The next prime is 2985420636131. The reversal of 2985420636128 is 8216360245892.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1702253 + ... + 2978003.

It is an arithmetic number, because the mean of its divisors is an integer number (72442301568).

Almost surely, 2^{2985420636128} is an apocalyptic number.

2985420636128 is a gapful number since it is divisible by the number (28) 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 2985420636128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477230475264).

2985420636128 is an abundant number, since it is smaller than the sum of its proper divisors (3969040314400).

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

2985420636128 is a wasteful number, since it uses less digits than its factorization.

2985420636128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276136 (or 1276128 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 56.

The spelling of 2985420636128 in words is "two trillion, nine hundred eighty-five billion, four hundred twenty million, six hundred thirty-six thousand, one hundred twenty-eight".