2736125952 has 192 divisors, whose sum is σ = 8425347840. Its totient is φ = 773455872.

The previous prime is 2736125941. The next prime is 2736125963. The reversal of 2736125952 is 2595216372.

It is an interprime number because it is at equal distance from previous prime (2736125941) and next prime (2736125963).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4859623 + ... + 4860185.

It is an arithmetic number, because the mean of its divisors is an integer number (43882020).

Almost surely, 2^2736125952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2736125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212673920).

2736125952 is an abundant number, since it is smaller than the sum of its proper divisors (5689221888).

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

2736125952 is a wasteful number, since it uses less digits than its factorization.

2736125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 688 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 2736125952 is about 52307.9912824035. The cubic root of 2736125952 is about 1398.6595932499.

The spelling of 2736125952 in words is "two billion, seven hundred thirty-six million, one hundred twenty-five thousand, nine hundred fifty-two".