2742828660 has 576 divisors, whose sum is σ = 10540647936. Its totient is φ = 567705600.

The previous prime is 2742828643. The next prime is 2742828661. The reversal of 2742828660 is 668282472.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742828661) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24272764 + ... + 24272876.

It is an arithmetic number, because the mean of its divisors is an integer number (18299736).

Almost surely, 2^2742828660 is an apocalyptic number.

2742828660 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 2742828660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270323968).

2742828660 is an abundant number, since it is smaller than the sum of its proper divisors (7797819276).

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

2742828660 is a wasteful number, since it uses less digits than its factorization.

2742828660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2742828660 is about 52372.0217291638. The cubic root of 2742828660 is about 1399.8007641648.

The spelling of 2742828660 in words is "two billion, seven hundred forty-two million, eight hundred twenty-eight thousand, six hundred sixty".