2515648512 has 240 divisors, whose sum is σ = 7515963392. Its totient is φ = 743178240.

The previous prime is 2515648493. The next prime is 2515648517. The reversal of 2515648512 is 2158465152.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2515648517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19808193 + ... + 19808319.

Almost surely, 2^2515648512 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 2515648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3757981696).

2515648512 is an abundant number, since it is smaller than the sum of its proper divisors (5000314880).

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

2515648512 is a wasteful number, since it uses less digits than its factorization.

2515648512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 176 counting only the distinct ones).

The product of its digits is 96000, while the sum is 39.

The square root of 2515648512 is about 50156.2410074758. The cubic root of 2515648512 is about 1360.0346934633.

The spelling of 2515648512 in words is "two billion, five hundred fifteen million, six hundred forty-eight thousand, five hundred twelve".