2941313034240 has 576 divisors, whose sum is σ = 11798034393600. Its totient is φ = 663778492416.

The previous prime is 2941313034239. The next prime is 2941313034241. The reversal of 2941313034240 is 424303131492.

2941313034240 is a `hidden beast` number, since 2 + 94 + 13 + 130 + 3 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2941313034239) and next prime (2941313034241).

It is a tau number, because it is divible by the number of its divisors (576).

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 = 2941313034195 and 2941313034204.

It is not an unprimeable number, because it can be changed into a prime (2941313034241) 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, 50935624 + ... + 50993336.

It is an arithmetic number, because the mean of its divisors is an integer number (20482698600).

Almost surely, 2^{2941313034240} is an apocalyptic number.

2941313034240 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 2941313034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899017196800).

2941313034240 is an abundant number, since it is smaller than the sum of its proper divisors (8856721359360).

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

2941313034240 is a wasteful number, since it uses less digits than its factorization.

2941313034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57832 (or 57809 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2941313034240 in words is "two trillion, nine hundred forty-one billion, three hundred thirteen million, thirty-four thousand, two hundred forty".