2301534541152 has 144 divisors (see below), whose sum is σ = 8159986179072. Its totient is φ = 597801173760.

The previous prime is 2301534541151. The next prime is 2301534541183. The reversal of 2301534541152 is 2511454351032.

2301534541152 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 53 + 454 + 1 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2301534541152² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301534541151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51870288 + ... + 51914639.

It is an arithmetic number, because the mean of its divisors is an integer number (56666570688).

Almost surely, 2^{2301534541152} is an apocalyptic number.

2301534541152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2301534541152 is an abundant number, since it is smaller than the sum of its proper divisors (5858451637920).

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

2301534541152 is a wasteful number, since it uses less digits than its factorization.

2301534541152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103784961 (or 103784950 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 2301534541152 its reverse (2511454351032), we get a palindrome (4812988892184).

The spelling of 2301534541152 in words is "two trillion, three hundred one billion, five hundred thirty-four million, five hundred forty-one thousand, one hundred fifty-two".