2515152384 has 100 divisors (see below), whose sum is σ = 7507191384. Its totient is φ = 838370304.

The previous prime is 2515152377. The next prime is 2515152389. The reversal of 2515152384 is 4832515152.

2515152384 is a `hidden beast` number, since 2 + 5 + 1 + 51 + 523 + 84 = 666.

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 (2515152389) 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 9 ways as a sum of consecutive naturals, for example, 11149 + ... + 71795.

Almost surely, 2^2515152384 is an apocalyptic number.

2515152384 is a gapful number since it is divisible by the number (24) 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 2515152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753595692).

2515152384 is an abundant number, since it is smaller than the sum of its proper divisors (4992039000).

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

2515152384 is an frugal number, since it uses more digits than its factorization.

2515152384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60677 (or 60652 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 2515152384 is about 50151.2949384161. The cubic root of 2515152384 is about 1359.9452803820.

The spelling of 2515152384 in words is "two billion, five hundred fifteen million, one hundred fifty-two thousand, three hundred eighty-four".