2515201440 has 192 divisors, whose sum is σ = 8102312064. Its totient is φ = 655699968.

The previous prime is 2515201421. The next prime is 2515201453. The reversal of 2515201440 is 441025152.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2515201440.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6335322 + ... + 6335718.

It is an arithmetic number, because the mean of its divisors is an integer number (42199542).

Almost surely, 2^2515201440 is an apocalyptic number.

2515201440 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 2515201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051156032).

2515201440 is an abundant number, since it is smaller than the sum of its proper divisors (5587110624).

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

2515201440 is a wasteful number, since it uses less digits than its factorization.

2515201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2515201440 is about 50151.7840161245. The cubic root of 2515201440 is about 1359.9541218664.

Adding to 2515201440 its reverse (441025152), we get a palindrome (2956226592).

The spelling of 2515201440 in words is "two billion, five hundred fifteen million, two hundred one thousand, four hundred forty".