2515332335152 has 160 divisors (see below), whose sum is σ = 6052362624000. Its totient is φ = 986095918080.

The previous prime is 2515332335129. The next prime is 2515332335167.

2515332335152 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2515332335152² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 141707974 + ... + 141725722.

It is an arithmetic number, because the mean of its divisors is an integer number (37827266400).

Almost surely, 2^{2515332335152} 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 2515332335152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026181312000).

2515332335152 is an abundant number, since it is smaller than the sum of its proper divisors (3537030288848).

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

2515332335152 is a wasteful number, since it uses less digits than its factorization.

2515332335152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18651 (or 18645 counting only the distinct ones).

The product of its digits is 405000, while the sum is 40.

The spelling of 2515332335152 in words is "two trillion, five hundred fifteen billion, three hundred thirty-two million, three hundred thirty-five thousand, one hundred fifty-two".