2985637601232 has 400 divisors, whose sum is σ = 10186852249728. Its totient is φ = 832277928960.

The previous prime is 2985637601227. The next prime is 2985637601263. The reversal of 2985637601232 is 2321067365892.

2985637601232 is a `hidden beast` number, since 2 + 9 + 8 + 5 + 6 + 3 + 7 + 601 + 23 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 54273613 + ... + 54328595.

Almost surely, 2^{2985637601232} is an apocalyptic number.

2985637601232 is a gapful number since it is divisible by the number (22) 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 2985637601232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093426124864).

2985637601232 is an abundant number, since it is smaller than the sum of its proper divisors (7201214648496).

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

2985637601232 is a wasteful number, since it uses less digits than its factorization.

2985637601232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55320 (or 55305 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2985637601232 in words is "two trillion, nine hundred eighty-five billion, six hundred thirty-seven million, six hundred one thousand, two hundred thirty-two".