1945739040 has 144 divisors (see below), whose sum is σ = 7129829952. Its totient is φ = 444734976.

The previous prime is 1945738979. The next prime is 1945739051. The reversal of 1945739040 is 409375491.

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 = 1945738983 and 1945739001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17844 + ... + 64883.

It is an arithmetic number, because the mean of its divisors is an integer number (49512708).

Almost surely, 2^1945739040 is an apocalyptic number.

1945739040 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 1945739040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564914976).

1945739040 is an abundant number, since it is smaller than the sum of its proper divisors (5184090912).

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

1945739040 is a wasteful number, since it uses less digits than its factorization.

1945739040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82759 (or 82744 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1945739040 is about 44110.5320756846. The cubic root of 1945739040 is about 1248.4223381575.

The spelling of 1945739040 in words is "one billion, nine hundred forty-five million, seven hundred thirty-nine thousand, forty".