2880519376896 has 520 divisors, whose sum is σ = 10412850032640. Its totient is φ = 774582829056.

The previous prime is 2880519376837. The next prime is 2880519376897. The reversal of 2880519376896 is 6986739150882.

2880519376896 is a `hidden beast` number, since 28 + 8 + 0 + 519 + 3 + 7 + 6 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2880519376897) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39444865 + ... + 39517823.

Almost surely, 2^{2880519376896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2880519376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206425016320).

2880519376896 is an abundant number, since it is smaller than the sum of its proper divisors (7532330655744).

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

2880519376896 is an equidigital number, since it uses as much as digits as its factorization.

2880519376896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73019 (or 72988 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 2880519376896 in words is "two trillion, eight hundred eighty billion, five hundred nineteen million, three hundred seventy-six thousand, eight hundred ninety-six".