2516952842280 has 320 divisors, whose sum is σ = 8802117363600. Its totient is φ = 644292956160.

The previous prime is 2516952842269. The next prime is 2516952842329. The reversal of 2516952842280 is 822482596152.

2516952842280 is a `hidden beast` number, since 2 + 5 + 16 + 9 + 528 + 4 + 22 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1139996102436 + 1376956739844 = 1067706^2 + 1173438^2 .

It is a super-2 number, since 2×2516952842280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16177660 + ... + 16332500.

Almost surely, 2^{2516952842280} is an apocalyptic number.

2516952842280 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 2516952842280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401058681800).

2516952842280 is an abundant number, since it is smaller than the sum of its proper divisors (6285164521320).

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

2516952842280 is a wasteful number, since it uses less digits than its factorization.

2516952842280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155066 (or 155053 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2516952842280 in words is "two trillion, five hundred sixteen billion, nine hundred fifty-two million, eight hundred forty-two thousand, two hundred eighty".