2920431290112 has 288 divisors, whose sum is σ = 10009001640960. Its totient is φ = 822655733760.

The previous prime is 2920431290111. The next prime is 2920431290123. The reversal of 2920431290112 is 2110921340292.

2920431290112 is a `hidden beast` number, since 2 + 9 + 20 + 431 + 2 + 90 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920431290111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3010198 + ... + 3860330.

It is an arithmetic number, because the mean of its divisors is an integer number (34753477920).

Almost surely, 2^{2920431290112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2920431290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5004500820480).

2920431290112 is an abundant number, since it is smaller than the sum of its proper divisors (7088570350848).

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

2920431290112 is an equidigital number, since it uses as much as digits as its factorization.

2920431290112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850236 (or 850216 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 2920431290112 in words is "two trillion, nine hundred twenty billion, four hundred thirty-one million, two hundred ninety thousand, one hundred twelve".