2010537984 has 448 divisors, whose sum is σ = 7046000640. Its totient is φ = 495452160.

The previous prime is 2010537983. The next prime is 2010537989. The reversal of 2010537984 is 4897350102.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010537983) 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 31 ways as a sum of consecutive naturals, for example, 64856049 + ... + 64856079.

It is an arithmetic number, because the mean of its divisors is an integer number (15727680).

Almost surely, 2^2010537984 is an apocalyptic number.

2010537984 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 2010537984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523000320).

2010537984 is an abundant number, since it is smaller than the sum of its proper divisors (5035462656).

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

2010537984 is a wasteful number, since it uses less digits than its factorization.

2010537984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 2010537984 is about 44839.0230045214. The cubic root of 2010537984 is about 1262.1300127339.

The spelling of 2010537984 in words is "two billion, ten million, five hundred thirty-seven thousand, nine hundred eighty-four".