2738192080 has 60 divisors (see below), whose sum is σ = 6893716140. Its totient is φ = 1011019776.

The previous prime is 2738192071. The next prime is 2738192089. The reversal of 2738192080 is 802918372.

It is an interprime number because it is at equal distance from previous prime (2738192071) and next prime (2738192089).

It can be written as a sum of positive squares in 6 ways, for example, as 423042624 + 2315149456 = 20568^2 + 48116^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738192089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87745 + ... + 114784.

It is an arithmetic number, because the mean of its divisors is an integer number (114895269).

Almost surely, 2^2738192080 is an apocalyptic number.

2738192080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2738192080 is an abundant number, since it is smaller than the sum of its proper divisors (4155524060).

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

2738192080 is a wasteful number, since it uses less digits than its factorization.

2738192080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202568 (or 202549 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 2738192080 is about 52327.7371954874. The cubic root of 2738192080 is about 1399.0115608019.

The spelling of 2738192080 in words is "two billion, seven hundred thirty-eight million, one hundred ninety-two thousand, eighty".