2151461736 has 96 divisors (see below), whose sum is σ = 6058852800. Its totient is φ = 715236480.

The previous prime is 2151461693. The next prime is 2151461737. The reversal of 2151461736 is 6371641512.

2151461736 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 4 + 617 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2151461736.

It is not an unprimeable number, because it can be changed into a prime (2151461737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852156 + ... + 854676.

It is an arithmetic number, because the mean of its divisors is an integer number (63113050).

Almost surely, 2^2151461736 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 2151461736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029426400).

2151461736 is an abundant number, since it is smaller than the sum of its proper divisors (3907391064).

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

2151461736 is a wasteful number, since it uses less digits than its factorization.

2151461736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2965 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2151461736 is about 46383.8521039381. The cubic root of 2151461736 is about 1290.9553118374.

The spelling of 2151461736 in words is "two billion, one hundred fifty-one million, four hundred sixty-one thousand, seven hundred thirty-six".