1957749840 has 120 divisors (see below), whose sum is σ = 6638860800. Its totient is φ = 516978432.

The previous prime is 1957749803. The next prime is 1957749847. The reversal of 1957749840 is 489477591.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957749847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60961 + ... + 87359.

It is an arithmetic number, because the mean of its divisors is an integer number (55323840).

Almost surely, 2^1957749840 is an apocalyptic number.

1957749840 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 1957749840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319430400).

1957749840 is an abundant number, since it is smaller than the sum of its proper divisors (4681110960).

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

1957749840 is a wasteful number, since it uses less digits than its factorization.

1957749840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26521 (or 26512 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 1957749840 is about 44246.4669776017. The cubic root of 1957749840 is about 1250.9858548012.

The spelling of 1957749840 in words is "one billion, nine hundred fifty-seven million, seven hundred forty-nine thousand, eight hundred forty".