2616451530 has 384 divisors, whose sum is σ = 8424953856. Its totient is φ = 513676800.

The previous prime is 2616451511. The next prime is 2616451567. The reversal of 2616451530 is 351546162.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2616451491 and 2616451500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36851395 + ... + 36851465.

It is an arithmetic number, because the mean of its divisors is an integer number (21939984).

Almost surely, 2^2616451530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2616451530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212476928).

2616451530 is an abundant number, since it is smaller than the sum of its proper divisors (5808502326).

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

2616451530 is a wasteful number, since it uses less digits than its factorization.

2616451530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2616451530 is about 51151.2612747721. The cubic root of 2616451530 is about 1377.9630260631.

Adding to 2616451530 its reverse (351546162), we get a palindrome (2967997692).

It can be divided in two parts, 261645 and 1530, that added together give a triangular number (263175 = T₇₂₅).

The spelling of 2616451530 in words is "two billion, six hundred sixteen million, four hundred fifty-one thousand, five hundred thirty".