2736146952 has 288 divisors, whose sum is σ = 9607965120. Its totient is φ = 709637760.

The previous prime is 2736146947. The next prime is 2736146989. The reversal of 2736146952 is 2596416372.

2736146952 is a `hidden beast` number, since 27 + 3 + 614 + 6 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2736146898 and 2736146907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4041238 + ... + 4041914.

It is an arithmetic number, because the mean of its divisors is an integer number (33360990).

Almost surely, 2^2736146952 is an apocalyptic number.

2736146952 is a gapful number since it is divisible by the number (22) 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 2736146952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803982560).

2736146952 is an abundant number, since it is smaller than the sum of its proper divisors (6871818168).

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

2736146952 is an equidigital number, since it uses as much as digits as its factorization.

2736146952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 700 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 2736146952 is about 52308.1920161651. The cubic root of 2736146952 is about 1398.6631715179.

The spelling of 2736146952 in words is "two billion, seven hundred thirty-six million, one hundred forty-six thousand, nine hundred fifty-two".