2736148890 has 64 divisors (see below), whose sum is σ = 6764311296. Its totient is φ = 707807232.

The previous prime is 2736148829. The next prime is 2736148897. The reversal of 2736148890 is 988416372.

It is not an unprimeable number, because it can be changed into a prime (2736148897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388339 + ... + 395321.

It is an arithmetic number, because the mean of its divisors is an integer number (105692364).

Almost surely, 2^2736148890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2736148890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3382155648).

2736148890 is an abundant number, since it is smaller than the sum of its proper divisors (4028162406).

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

2736148890 is a wasteful number, since it uses less digits than its factorization.

2736148890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7383.

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 2736148890 is about 52308.2105409849. The cubic root of 2736148890 is about 1398.6635017400.

The spelling of 2736148890 in words is "two billion, seven hundred thirty-six million, one hundred forty-eight thousand, eight hundred ninety".