1940724744 has 256 divisors, whose sum is σ = 5971968000. Its totient is φ = 513976320.

The previous prime is 1940724697. The next prime is 1940724749. The reversal of 1940724744 is 4474270491.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1940724696 and 1940724705.

It is not an unprimeable number, because it can be changed into a prime (1940724749) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21805852 + ... + 21805940.

It is an arithmetic number, because the mean of its divisors is an integer number (23328000).

Almost surely, 2^1940724744 is an apocalyptic number.

1940724744 is a gapful number since it is divisible by the number (14) 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 1940724744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985984000).

1940724744 is an abundant number, since it is smaller than the sum of its proper divisors (4031243256).

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

1940724744 is a wasteful number, since it uses less digits than its factorization.

1940724744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 1940724744 is about 44053.6575553041. The cubic root of 1940724744 is about 1247.3489937606.

The spelling of 1940724744 in words is "one billion, nine hundred forty million, seven hundred twenty-four thousand, seven hundred forty-four".