2516881284288 has 1120 divisors, whose sum is σ = 9296085934080. Its totient is φ = 657573396480.

The previous prime is 2516881284223. The next prime is 2516881284347. The reversal of 2516881284288 is 8824821886152.

2516881284288 is a `hidden beast` number, since 2 + 5 + 1 + 6 + 88 + 128 + 428 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2302727070 + ... + 2302728162.

Almost surely, 2^{2516881284288} is an apocalyptic number.

2516881284288 is a gapful number since it is divisible by the number (28) 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 2516881284288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648042967040).

2516881284288 is an abundant number, since it is smaller than the sum of its proper divisors (6779204649792).

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

2516881284288 is a wasteful number, since it uses less digits than its factorization.

2516881284288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1248 counting only the distinct ones).

The product of its digits is 31457280, while the sum is 63.

The spelling of 2516881284288 in words is "two trillion, five hundred sixteen billion, eight hundred eighty-one million, two hundred eighty-four thousand, two hundred eighty-eight".