2461622000 has 80 divisors (see below), whose sum is σ = 5963909952. Its totient is φ = 982713600.

The previous prime is 2461621979. The next prime is 2461622003. The reversal of 2461622000 is 2261642.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2461622003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1453154 + ... + 1454846.

Almost surely, 2^2461622000 is an apocalyptic number.

2461622000 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 2461622000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981954976).

2461622000 is an abundant number, since it is smaller than the sum of its proper divisors (3502287952).

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

2461622000 is a wasteful number, since it uses less digits than its factorization.

2461622000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2461622000 is about 49614.7357143017. The cubic root of 2461622000 is about 1350.2280364674.

Adding to 2461622000 its reverse (2261642), we get a palindrome (2463883642).

The spelling of 2461622000 in words is "two billion, four hundred sixty-one million, six hundred twenty-two thousand".