1880266752 has 576 divisors, whose sum is σ = 7154784000. Its totient is φ = 461832192.

The previous prime is 1880266747. The next prime is 1880266753. The reversal of 1880266752 is 2576620881.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 1880266698 and 1880266707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1880266753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31868899 + ... + 31868957.

It is an arithmetic number, because the mean of its divisors is an integer number (12421500).

Almost surely, 2^1880266752 is an apocalyptic number.

1880266752 is a gapful number since it is divisible by the number (12) 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 1880266752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577392000).

1880266752 is an abundant number, since it is smaller than the sum of its proper divisors (5274517248).

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

1880266752 is a wasteful number, since it uses less digits than its factorization.

1880266752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1880266752 is about 43362.0427563093. The cubic root of 1880266752 is about 1234.2595291329.

The spelling of 1880266752 in words is "one billion, eight hundred eighty million, two hundred sixty-six thousand, seven hundred fifty-two".