1901749248 has 264 divisors, whose sum is σ = 6437733120. Its totient is φ = 529367040.

The previous prime is 1901749247. The next prime is 1901749259. The reversal of 1901749248 is 8429471091.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1901749247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2644633 + ... + 2645351.

Almost surely, 2^1901749248 is an apocalyptic number.

1901749248 is a gapful number since it is divisible by the number (18) 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 1901749248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218866560).

1901749248 is an abundant number, since it is smaller than the sum of its proper divisors (4535983872).

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

1901749248 is a wasteful number, since it uses less digits than its factorization.

1901749248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1901749248 is about 43609.0500699109. The cubic root of 1901749248 is about 1238.9423100046.

It can be divided in two parts, 19017 and 49248, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 1901749248 in words is "one billion, nine hundred one million, seven hundred forty-nine thousand, two hundred forty-eight".