2741334624 has 384 divisors, whose sum is σ = 9537454080. Its totient is φ = 749855232.

The previous prime is 2741334601. The next prime is 2741334653. The reversal of 2741334624 is 4264331472.

2741334624 is a `hidden beast` number, since 27 + 4 + 1 + 3 + 3 + 4 + 624 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21585249 + ... + 21585375.

It is an arithmetic number, because the mean of its divisors is an integer number (24837120).

Almost surely, 2^2741334624 is an apocalyptic number.

2741334624 is a gapful number since it is divisible by the number (24) 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 2741334624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768727040).

2741334624 is an abundant number, since it is smaller than the sum of its proper divisors (6796119456).

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

2741334624 is a wasteful number, since it uses less digits than its factorization.

2741334624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 2741334624 is about 52357.7561016513. The cubic root of 2741334624 is about 1399.5465579137.

The spelling of 2741334624 in words is "two billion, seven hundred forty-one million, three hundred thirty-four thousand, six hundred twenty-four".