2049651072 has 384 divisors, whose sum is σ = 7225320960. Its totient is φ = 544997376.

The previous prime is 2049651061. The next prime is 2049651073. The reversal of 2049651072 is 2701569402.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2049651073) 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 47 ways as a sum of consecutive naturals, for example, 7975168 + ... + 7975424.

It is an arithmetic number, because the mean of its divisors is an integer number (18815940).

Almost surely, 2^2049651072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2049651072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612660480).

2049651072 is an abundant number, since it is smaller than the sum of its proper divisors (5175669888).

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

2049651072 is a wasteful number, since it uses less digits than its factorization.

2049651072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2049651072 is about 45273.0722615552. The cubic root of 2049651072 is about 1270.2620146773.

The spelling of 2049651072 in words is "two billion, forty-nine million, six hundred fifty-one thousand, seventy-two".