2741114376 has 384 divisors, whose sum is σ = 10123626240. Its totient is φ = 646963200.

The previous prime is 2741114371. The next prime is 2741114377. The reversal of 2741114376 is 6734111472.

2741114376 is a `hidden beast` number, since 274 + 1 + 1 + 14 + 376 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 self number, because there is not a number n which added to its sum of digits gives 2741114376.

It is not an unprimeable number, because it can be changed into a prime (2741114371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5260996 + ... + 5261516.

It is an arithmetic number, because the mean of its divisors is an integer number (26363610).

Almost surely, 2^2741114376 is an apocalyptic number.

2741114376 is a gapful number since it is divisible by the number (26) 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 2741114376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061813120).

2741114376 is an abundant number, since it is smaller than the sum of its proper divisors (7382511864).

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

2741114376 is a wasteful number, since it uses less digits than its factorization.

2741114376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 630 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 2741114376 is about 52355.6527607096. The cubic root of 2741114376 is about 1399.5090754914.

The spelling of 2741114376 in words is "two billion, seven hundred forty-one million, one hundred fourteen thousand, three hundred seventy-six".