2063781504 has 224 divisors, whose sum is σ = 6531964740. Its totient is φ = 646963200.

The previous prime is 2063781479. The next prime is 2063781509. The reversal of 2063781504 is 4051873602.

2063781504 is a `hidden beast` number, since 2 + 0 + 637 + 8 + 15 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1960718400 + 103063104 = 44280^2 + 10152^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2063781509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1585654 + ... + 1586954.

Almost surely, 2^2063781504 is an apocalyptic number.

2063781504 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 2063781504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3265982370).

2063781504 is an abundant number, since it is smaller than the sum of its proper divisors (4468183236).

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

2063781504 is an equidigital number, since it uses as much as digits as its factorization.

2063781504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2063781504 is about 45428.8620152431. The cubic root of 2063781504 is about 1273.1744226337.

The spelling of 2063781504 in words is "two billion, sixty-three million, seven hundred eighty-one thousand, five hundred four".