2742129760 has 48 divisors (see below), whose sum is σ = 6502289472. Its totient is φ = 1092787200.

The previous prime is 2742129749. The next prime is 2742129781. The reversal of 2742129760 is 679212472.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11740 + ... + 74980.

It is an arithmetic number, because the mean of its divisors is an integer number (135464364).

Almost surely, 2^2742129760 is an apocalyptic number.

2742129760 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 2742129760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3251144736).

2742129760 is an abundant number, since it is smaller than the sum of its proper divisors (3760159712).

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

2742129760 is a wasteful number, since it uses less digits than its factorization.

2742129760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63527 (or 63519 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 2742129760 is about 52365.3488482603. The cubic root of 2742129760 is about 1399.6818596831.

The spelling of 2742129760 in words is "two billion, seven hundred forty-two million, one hundred twenty-nine thousand, seven hundred sixty".