2923984103040 has 6144 divisors, whose sum is σ = 15753056256000. Its totient is φ = 501645312000.

The previous prime is 2923984103017. The next prime is 2923984103041. The reversal of 2923984103040 is 403014893292.

2923984103040 is a `hidden beast` number, since 29 + 239 + 84 + 10 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2923984103041) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 71316685420 + ... + 71316685460.

It is an arithmetic number, because the mean of its divisors is an integer number (2563974000).

Almost surely, 2^{2923984103040} is an apocalyptic number.

2923984103040 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 2923984103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7876528128000).

2923984103040 is an abundant number, since it is smaller than the sum of its proper divisors (12829072152960).

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

2923984103040 is a wasteful number, since it uses less digits than its factorization.

2923984103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 2923984103040 in words is "two trillion, nine hundred twenty-three billion, nine hundred eighty-four million, one hundred three thousand, forty".