2154600072 has 72 divisors (see below), whose sum is σ = 6100225950. Its totient is φ = 686961792.

The previous prime is 2154600053. The next prime is 2154600079. The reversal of 2154600072 is 2700064512.

2154600072 is a `hidden beast` number, since 2 + 1 + 54 + 600 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1257837156 + 896762916 = 35466^2 + 29946^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2154600079) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 9804 + ... + 66372.

Almost surely, 2^2154600072 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 2154600072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050112975).

2154600072 is an abundant number, since it is smaller than the sum of its proper divisors (3945625878).

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

2154600072 is a wasteful number, since it uses less digits than its factorization.

2154600072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56627 (or 56597 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2154600072 is about 46417.6698251862. The cubic root of 2154600072 is about 1291.5827121310.

Adding to 2154600072 its reverse (2700064512), we get a palindrome (4854664584).

The spelling of 2154600072 in words is "two billion, one hundred fifty-four million, six hundred thousand, seventy-two".