1957978240 has 32 divisors (see below), whose sum is σ = 4680793260. Its totient is φ = 783191040.

The previous prime is 1957978199. The next prime is 1957978241. The reversal of 1957978240 is 428797591.

It can be written as a sum of positive squares in 2 ways, for example, as 1922647104 + 35331136 = 43848^2 + 5944^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1957978241) 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 3 ways as a sum of consecutive naturals, for example, 1529031 + ... + 1530310.

Almost surely, 2^1957978240 is an apocalyptic number.

1957978240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1957978240 is an abundant number, since it is smaller than the sum of its proper divisors (2722815020).

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

1957978240 is an equidigital number, since it uses as much as digits as its factorization.

1957978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059360 (or 3059348 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 52.

The square root of 1957978240 is about 44249.0478993616. The cubic root of 1957978240 is about 1251.0345014758.

The spelling of 1957978240 in words is "one billion, nine hundred fifty-seven million, nine hundred seventy-eight thousand, two hundred forty".