2037049344 has 384 divisors, whose sum is σ = 7005398400. Its totient is φ = 578027520.

The previous prime is 2037049297. The next prime is 2037049387. The reversal of 2037049344 is 4439407302.

2037049344 is a `hidden beast` number, since 203 + 70 + 49 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 2037049299 and 2037049308.

It is an unprimeable number.

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, 10340254 + ... + 10340450.

It is an arithmetic number, because the mean of its divisors is an integer number (18243225).

Almost surely, 2^2037049344 is an apocalyptic number.

2037049344 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 2037049344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502699200).

2037049344 is an abundant number, since it is smaller than the sum of its proper divisors (4968349056).

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

2037049344 is a wasteful number, since it uses less digits than its factorization.

2037049344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 2037049344 is about 45133.6830316339. The cubic root of 2037049344 is about 1267.6533731284.

The spelling of 2037049344 in words is "two billion, thirty-seven million, forty-nine thousand, three hundred forty-four".