1771242640 has 80 divisors (see below), whose sum is σ = 4234728960. Its totient is φ = 688573440.

The previous prime is 1771242607. The next prime is 1771242661. The reversal of 1771242640 is 462421771.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1771242596 and 1771242605.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1006081 + ... + 1007839.

It is an arithmetic number, because the mean of its divisors is an integer number (52934112).

Almost surely, 2^1771242640 is an apocalyptic number.

1771242640 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 1771242640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117364480).

1771242640 is an abundant number, since it is smaller than the sum of its proper divisors (2463486320).

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

1771242640 is a wasteful number, since it uses less digits than its factorization.

1771242640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 1771242640 is about 42086.1335834025. The cubic root of 1771242640 is about 1209.9275142699.

The spelling of 1771242640 in words is "one billion, seven hundred seventy-one million, two hundred forty-two thousand, six hundred forty".