2742681600 has 432 divisors, whose sum is σ = 10401834240. Its totient is φ = 707788800.

The previous prime is 2742681589. The next prime is 2742681629. The reversal of 2742681600 is 61862472.

2742681600 is a `hidden beast` number, since 2 + 7 + 42 + 6 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 23 ways as a sum of consecutive naturals, for example, 88473585 + ... + 88473615.

It is an arithmetic number, because the mean of its divisors is an integer number (24078320).

Almost surely, 2^2742681600 is an apocalyptic number.

2742681600 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 2742681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200917120).

2742681600 is an abundant number, since it is smaller than the sum of its proper divisors (7659152640).

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

2742681600 is an frugal number, since it uses more digits than its factorization.

2742681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2742681600 is about 52370.6177164257. The cubic root of 2742681600 is about 1399.7757463936.

The spelling of 2742681600 in words is "two billion, seven hundred forty-two million, six hundred eighty-one thousand, six hundred".