2502071032320 has 480 divisors, whose sum is σ = 9196916640912. Its totient is φ = 626478022656.

The previous prime is 2502071032319. The next prime is 2502071032393. The reversal of 2502071032320 is 232301702052.

It is a happy number.

2502071032320 is a `hidden beast` number, since 250 + 2 + 0 + 71 + 0 + 323 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 881766072576 + 1620304959744 = 939024^2 + 1272912^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169590064 + ... + 169604816.

Almost surely, 2^{2502071032320} is an apocalyptic number.

2502071032320 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 2502071032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598458320456).

2502071032320 is an abundant number, since it is smaller than the sum of its proper divisors (6694845608592).

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

2502071032320 is a wasteful number, since it uses less digits than its factorization.

2502071032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15232 (or 15213 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

Adding to 2502071032320 its reverse (232301702052), we get a palindrome (2734372734372).

The spelling of 2502071032320 in words is "two trillion, five hundred two billion, seventy-one million, thirty-two thousand, three hundred twenty".