1882974720 has 320 divisors, whose sum is σ = 6788136960. Its totient is φ = 441139200.

The previous prime is 1882974719. The next prime is 1882974721. The reversal of 1882974720 is 274792881.

It is an interprime number because it is at equal distance from previous prime (1882974719) and next prime (1882974721).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1882974720.

It is not an unprimeable number, because it can be changed into a prime (1882974721) 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 31 ways as a sum of consecutive naturals, for example, 2618521 + ... + 2619239.

It is an arithmetic number, because the mean of its divisors is an integer number (21212928).

Almost surely, 2^1882974720 is an apocalyptic number.

1882974720 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 1882974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394068480).

1882974720 is an abundant number, since it is smaller than the sum of its proper divisors (4905162240).

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

1882974720 is a wasteful number, since it uses less digits than its factorization.

1882974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 1882974720 is about 43393.2566189725. The cubic root of 1882974720 is about 1234.8517734761.

The spelling of 1882974720 in words is "one billion, eight hundred eighty-two million, nine hundred seventy-four thousand, seven hundred twenty".