2041893504 has 288 divisors, whose sum is σ = 6958834740. Its totient is φ = 572866560.

The previous prime is 2041893499. The next prime is 2041893559. The reversal of 2041893504 is 4053981402.

2041893504 is a `hidden beast` number, since 20 + 41 + 8 + 93 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1922647104 + 119246400 = 43848^2 + 10920^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 35 ways as a sum of consecutive naturals, for example, 3443032 + ... + 3443624.

Almost surely, 2^2041893504 is an apocalyptic number.

2041893504 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 2041893504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479417370).

2041893504 is an abundant number, since it is smaller than the sum of its proper divisors (4916941236).

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

2041893504 is a wasteful number, since it uses less digits than its factorization.

2041893504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2041893504 is about 45187.3157423629. The cubic root of 2041893504 is about 1268.6574159948.

The spelling of 2041893504 in words is "two billion, forty-one million, eight hundred ninety-three thousand, five hundred four".