2905874400 has 288 divisors, whose sum is σ = 11113538688. Its totient is φ = 650188800.

The previous prime is 2905874381. The next prime is 2905874401. The reversal of 2905874400 is 44785092.

2905874400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905874401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338967 + ... + 347433.

It is an arithmetic number, because the mean of its divisors is an integer number (38588676).

Almost surely, 2^2905874400 is an apocalyptic number.

2905874400 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 2905874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556769344).

2905874400 is an abundant number, since it is smaller than the sum of its proper divisors (8207664288).

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

2905874400 is a wasteful number, since it uses less digits than its factorization.

2905874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8514 (or 8501 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2905874400 is about 53906.1629129731. The cubic root of 2905874400 is about 1427.0053882707.

The spelling of 2905874400 in words is "two billion, nine hundred five million, eight hundred seventy-four thousand, four hundred".