2041408512 has 264 divisors, whose sum is σ = 6929504400. Its totient is φ = 570654720.

The previous prime is 2041408483. The next prime is 2041408529. The reversal of 2041408512 is 2158041402.

2041408512 is a `hidden beast` number, since 2 + 0 + 4 + 140 + 8 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317114 + ... + 1318662.

Almost surely, 2^2041408512 is an apocalyptic number.

2041408512 is a gapful number since it is divisible by the number (22) 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 2041408512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3464752200).

2041408512 is an abundant number, since it is smaller than the sum of its proper divisors (4888095888).

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

2041408512 is a wasteful number, since it uses less digits than its factorization.

2041408512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2041408512 is about 45181.9489619472. The cubic root of 2041408512 is about 1268.5569639034.

Adding to 2041408512 its reverse (2158041402), we get a palindrome (4199449914).

The spelling of 2041408512 in words is "two billion, forty-one million, four hundred eight thousand, five hundred twelve".