2509768890720 has 2016 divisors, whose sum is σ = 11797873583328. Its totient is φ = 498133794816.

The previous prime is 2509768890649. The next prime is 2509768890743. The reversal of 2509768890720 is 270988679052.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1263093567 + ... + 1263095553.

It is an arithmetic number, because the mean of its divisors is an integer number (5852119833).

Almost surely, 2^{2509768890720} is an apocalyptic number.

2509768890720 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 2509768890720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898936791664).

2509768890720 is an abundant number, since it is smaller than the sum of its proper divisors (9288104692608).

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

2509768890720 is a wasteful number, since it uses less digits than its factorization.

2509768890720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 2509768890720 in words is "two trillion, five hundred nine billion, seven hundred sixty-eight million, eight hundred ninety thousand, seven hundred twenty".