2515555152 has 180 divisors, whose sum is σ = 7872621120. Its totient is φ = 749063040.

The previous prime is 2515555151. The next prime is 2515555177.

2515555152 is a `hidden beast` number, since 2 + 5 + 1 + 55 + 551 + 52 = 666.

2515555152 is nontrivially palindromic in base 10.

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 (2515555151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1026793 + ... + 1029239.

It is an arithmetic number, because the mean of its divisors is an integer number (43736784).

Almost surely, 2^2515555152 is an apocalyptic number.

2515555152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2515555152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936310560).

2515555152 is an abundant number, since it is smaller than the sum of its proper divisors (5357065968).

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

2515555152 is a wasteful number, since it uses less digits than its factorization.

2515555152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542 (or 2522 counting only the distinct ones).

The product of its digits is 62500, while the sum is 36.

The square root of 2515555152 is about 50155.3103070851. The cubic root of 2515555152 is about 1360.0178688540.

The spelling of 2515555152 in words is "two billion, five hundred fifteen million, five hundred fifty-five thousand, one hundred fifty-two".