2612163200 has 96 divisors (see below), whose sum is σ = 6512929500. Its totient is φ = 1035141120.

The previous prime is 2612163179. The next prime is 2612163209. The reversal of 2612163200 is 23612162.

It can be written as a sum of positive squares in 6 ways, for example, as 1203812416 + 1408350784 = 34696^2 + 37528^2 .

It is not an unprimeable number, because it can be changed into a prime (2612163209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345056 + ... + 352544.

Almost surely, 2^2612163200 is an apocalyptic number.

2612163200 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 2612163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256464750).

2612163200 is an abundant number, since it is smaller than the sum of its proper divisors (3900766300).

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

2612163200 is a wasteful number, since it uses less digits than its factorization.

2612163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7622 (or 7605 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2612163200 is about 51109.3259591633. The cubic root of 2612163200 is about 1377.2097932458.

Adding to 2612163200 its reverse (23612162), we get a palindrome (2635775362).

The spelling of 2612163200 in words is "two billion, six hundred twelve million, one hundred sixty-three thousand, two hundred".