2507380249920 has 448 divisors, whose sum is σ = 9844579239936. Its totient is φ = 526518558720.

The previous prime is 2507380249859. The next prime is 2507380249931. The reversal of 2507380249920 is 299420837052.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18364947 + ... + 18500973.

It is an arithmetic number, because the mean of its divisors is an integer number (21974507232).

Almost surely, 2^{2507380249920} is an apocalyptic number.

2507380249920 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 2507380249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922289619968).

2507380249920 is an abundant number, since it is smaller than the sum of its proper divisors (7337198990016).

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

2507380249920 is a wasteful number, since it uses less digits than its factorization.

2507380249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136278 (or 136268 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 2507380249920 in words is "two trillion, five hundred seven billion, three hundred eighty million, two hundred forty-nine thousand, nine hundred twenty".