2515795200 has 540 divisors, whose sum is σ = 9752479968. Its totient is φ = 638668800.

The previous prime is 2515795189. The next prime is 2515795207. The reversal of 2515795200 is 25975152.

It is a tau number, because it is divible by the number of its divisors (540).

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 (2515795207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11923095 + ... + 11923305.

Almost surely, 2^2515795200 is an apocalyptic number.

2515795200 is a gapful number since it is divisible by the number (20) 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 2515795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876239984).

2515795200 is an abundant number, since it is smaller than the sum of its proper divisors (7236684768).

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

2515795200 is a wasteful number, since it uses less digits than its factorization.

2515795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 2515795200 is about 50157.7032967021. The cubic root of 2515795200 is about 1360.0611275870.

The spelling of 2515795200 in words is "two billion, five hundred fifteen million, seven hundred ninety-five thousand, two hundred".