2412621640 has 256 divisors, whose sum is σ = 6921573120. Its totient is φ = 743178240.

The previous prime is 2412621599. The next prime is 2412621647. The reversal of 2412621640 is 461262142.

It is a junction number, because it is equal to n+sod(n) for n = 2412621599 and 2412621608.

It is not an unprimeable number, because it can be changed into a prime (2412621647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4181032 + ... + 4181608.

It is an arithmetic number, because the mean of its divisors is an integer number (27037395).

Almost surely, 2^2412621640 is an apocalyptic number.

2412621640 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 2412621640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3460786560).

2412621640 is an abundant number, since it is smaller than the sum of its proper divisors (4508951480).

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

2412621640 is a wasteful number, since it uses less digits than its factorization.

2412621640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2412621640 is about 49118.4450079601. The cubic root of 2412621640 is about 1341.2088371313.

Adding to 2412621640 its reverse (461262142), we get a palindrome (2873883782).

The spelling of 2412621640 in words is "two billion, four hundred twelve million, six hundred twenty-one thousand, six hundred forty".