2736789120 has 640 divisors, whose sum is σ = 10947847680. Its totient is φ = 646963200.

The previous prime is 2736789119. The next prime is 2736789173. The reversal of 2736789120 is 219876372.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20891455 + ... + 20891585.

It is an arithmetic number, because the mean of its divisors is an integer number (17106012).

Almost surely, 2^2736789120 is an apocalyptic number.

2736789120 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 2736789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473923840).

2736789120 is an abundant number, since it is smaller than the sum of its proper divisors (8211058560).

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

2736789120 is a wasteful number, since it uses less digits than its factorization.

2736789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2736789120 is about 52314.3299679925. The cubic root of 2736789120 is about 1398.7725840714.

The spelling of 2736789120 in words is "two billion, seven hundred thirty-six million, seven hundred eighty-nine thousand, one hundred twenty".