2415273120 has 384 divisors, whose sum is σ = 9423993600. Its totient is φ = 573640704.

The previous prime is 2415273089. The next prime is 2415273143. The reversal of 2415273120 is 213725142.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1627899 + ... + 1629381.

It is an arithmetic number, because the mean of its divisors is an integer number (24541650).

Almost surely, 2^2415273120 is an apocalyptic number.

2415273120 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 2415273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711996800).

2415273120 is an abundant number, since it is smaller than the sum of its proper divisors (7008720480).

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

2415273120 is a wasteful number, since it uses less digits than its factorization.

2415273120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2415273120 is about 49145.4282716104. The cubic root of 2415273120 is about 1341.6999883875.

Adding to 2415273120 its reverse (213725142), we get a palindrome (2628998262).

The spelling of 2415273120 in words is "two billion, four hundred fifteen million, two hundred seventy-three thousand, one hundred twenty".