2905981478400 has 3840 divisors, whose sum is σ = 14239248629760. Its totient is φ = 502176153600.

The previous prime is 2905981478339. The next prime is 2905981478401. The reversal of 2905981478400 is 48741895092.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905981478401) 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 383 ways as a sum of consecutive naturals, for example, 16797580714 + ... + 16797580886.

It is an arithmetic number, because the mean of its divisors is an integer number (3708137664).

Almost surely, 2^{2905981478400} is an apocalyptic number.

2905981478400 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 2905981478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7119624314880).

2905981478400 is an abundant number, since it is smaller than the sum of its proper divisors (11333267151360).

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

2905981478400 is a wasteful number, since it uses less digits than its factorization.

2905981478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 2905981478400 in words is "two trillion, nine hundred five billion, nine hundred eighty-one million, four hundred seventy-eight thousand, four hundred".