2041438464 has 180 divisors, whose sum is σ = 6556311916. Its totient is φ = 628051968.

The previous prime is 2041438453. The next prime is 2041438517. The reversal of 2041438464 is 4648341402.

2041438464 is a `hidden beast` number, since 204 + 14 + 384 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1369592064 + 671846400 = 37008^2 + 25920^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 265782 + ... + 273354.

Almost surely, 2^2041438464 is an apocalyptic number.

2041438464 is a gapful number since it is divisible by the number (24) 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 2041438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278155958).

2041438464 is an abundant number, since it is smaller than the sum of its proper divisors (4514873452).

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

2041438464 is an equidigital number, since it uses as much as digits as its factorization.

2041438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7591 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2041438464 is about 45182.2804205365. The cubic root of 2041438464 is about 1268.5631680564.

Adding to 2041438464 its reverse (4648341402), we get a palindrome (6689779866).

The spelling of 2041438464 in words is "two billion, forty-one million, four hundred thirty-eight thousand, four hundred sixty-four".