2411612928 has 216 divisors, whose sum is σ = 7685260128. Its totient is φ = 723419136.

The previous prime is 2411612927. The next prime is 2411613031. The reversal of 2411612928 is 8292161142.

2411612928 is a `hidden beast` number, since 2 + 4 + 11 + 612 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2411612892 and 2411612901.

It is not an unprimeable number, because it can be changed into a prime (2411612921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 899526 + ... + 902202.

It is an arithmetic number, because the mean of its divisors is an integer number (35579908).

Almost surely, 2^2411612928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2411612928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842630064).

2411612928 is an abundant number, since it is smaller than the sum of its proper divisors (5273647200).

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

2411612928 is a wasteful number, since it uses less digits than its factorization.

2411612928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2722 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2411612928 is about 49108.1757755264. The cubic root of 2411612928 is about 1341.0218922167.

The spelling of 2411612928 in words is "two billion, four hundred eleven million, six hundred twelve thousand, nine hundred twenty-eight".