2041583745600 has 1365 divisors, whose sum is σ = 8790722422457. Its totient is φ = 466647713280.

The previous prime is 2041583745589. The next prime is 2041583745697. The reversal of 2041583745600 is 65473851402.

The square root of 2041583745600 is 1428840.

It is a perfect power (a square), and thus also a powerful number.

2041583745600 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 5 + 8 + 37 + 4 + 5 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 734970148416 + 1306613597184 = 857304^2 + 1143072^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 194 ways as a sum of consecutive naturals, for example, 291654820797 + ... + 291654820803.

Almost surely, 2^{2041583745600} is an apocalyptic number.

2041583745600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2041583745600 is the 1428840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2041583745600

2041583745600 is an abundant number, since it is smaller than the sum of its proper divisors (6749138676857).

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

2041583745600 is an frugal number, since it uses more digits than its factorization.

2041583745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2041583745600 in words is "two trillion, forty-one billion, five hundred eighty-three million, seven hundred forty-five thousand, six hundred".