1949842752 has 224 divisors, whose sum is σ = 6193926144. Its totient is φ = 533452800.

The previous prime is 1949842717. The next prime is 1949842759. The reversal of 1949842752 is 2572489491.

It is a junction number, because it is equal to n+sod(n) for n = 1949842695 and 1949842704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949842759) 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, 1289677 + ... + 1291187.

It is an arithmetic number, because the mean of its divisors is an integer number (27651456).

Almost surely, 2^1949842752 is an apocalyptic number.

1949842752 is a gapful number since it is divisible by the number (12) 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 1949842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096963072).

1949842752 is an abundant number, since it is smaller than the sum of its proper divisors (4244083392).

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

1949842752 is a wasteful number, since it uses less digits than its factorization.

1949842752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1587 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 1949842752 is about 44157.0238127526. The cubic root of 1949842752 is about 1249.2993944882.

The spelling of 1949842752 in words is "one billion, nine hundred forty-nine million, eight hundred forty-two thousand, seven hundred fifty-two".