2991430041600 has 2112 divisors, whose sum is σ = 13980115215360. Its totient is φ = 543581798400.

The previous prime is 2991430041529. The next prime is 2991430041637. The reversal of 2991430041600 is 61400341992.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157443686391 + ... + 157443686409.

Almost surely, 2^{2991430041600} is an apocalyptic number.

2991430041600 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 2991430041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990057607680).

2991430041600 is an abundant number, since it is smaller than the sum of its proper divisors (10988685173760).

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

2991430041600 is an equidigital number, since it uses as much as digits as its factorization.

2991430041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 2991430041600 in words is "two trillion, nine hundred ninety-one billion, four hundred thirty million, forty-one thousand, six hundred".