1939749120 has 360 divisors, whose sum is σ = 7091768376. Its totient is φ = 506068992.

The previous prime is 1939749109. The next prime is 1939749127. The reversal of 1939749120 is 219479391.

It can be written as a sum of positive squares in 4 ways, for example, as 279023616 + 1660725504 = 16704^2 + 40752^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1939749127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5494864 + ... + 5495216.

Almost surely, 2^1939749120 is an apocalyptic number.

1939749120 is a gapful number since it is divisible by the number (10) 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 1939749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545884188).

1939749120 is an abundant number, since it is smaller than the sum of its proper divisors (5152019256).

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

1939749120 is an equidigital number, since it uses as much as digits as its factorization.

1939749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 1939749120 is about 44042.5830305172. The cubic root of 1939749120 is about 1247.1399399696.

The spelling of 1939749120 in words is "one billion, nine hundred thirty-nine million, seven hundred forty-nine thousand, one hundred twenty".