2905212234240 has 320 divisors, whose sum is σ = 10323059281920. Its totient is φ = 774460293120.

The previous prime is 2905212234233. The next prime is 2905212234251. The reversal of 2905212234240 is 424322125092.

2905212234240 is a `hidden beast` number, since 2 + 9 + 0 + 5 + 2 + 1 + 223 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 2905212234195 and 2905212234204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287326785 + ... + 287336895.

It is an arithmetic number, because the mean of its divisors is an integer number (32259560256).

Almost surely, 2^{2905212234240} is an apocalyptic number.

2905212234240 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 2905212234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161529640960).

2905212234240 is an abundant number, since it is smaller than the sum of its proper divisors (7417847047680).

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

2905212234240 is a wasteful number, since it uses less digits than its factorization.

2905212234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14300 (or 14278 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2905212234240 in words is "two trillion, nine hundred five billion, two hundred twelve million, two hundred thirty-four thousand, two hundred forty".