2741634720 has 288 divisors, whose sum is σ = 10350535104. Its totient is φ = 655257600.

The previous prime is 2741634703. The next prime is 2741634737. The reversal of 2741634720 is 274361472.

2741634720 is a `hidden beast` number, since 27 + 4 + 163 + 472 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2741634703) and next prime (2741634737).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1155135 + ... + 1157505.

It is an arithmetic number, because the mean of its divisors is an integer number (35939358).

Almost surely, 2^2741634720 is an apocalyptic number.

2741634720 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 2741634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5175267552).

2741634720 is an abundant number, since it is smaller than the sum of its proper divisors (7608900384).

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

2741634720 is a wasteful number, since it uses less digits than its factorization.

2741634720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2741634720 is about 52360.6218450469. The cubic root of 2741634720 is about 1399.5976258613.

The spelling of 2741634720 in words is "two billion, seven hundred forty-one million, six hundred thirty-four thousand, seven hundred twenty".