1649882880 has 216 divisors, whose sum is σ = 5745291552. Its totient is φ = 437133312.

The previous prime is 1649882869. The next prime is 1649882891. The reversal of 1649882880 is 882889461.

It is an interprime number because it is at equal distance from previous prime (1649882869) and next prime (1649882891).

It is a super-2 number, since 2×1649882880² = 5444227035434188800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 2269077 + ... + 2269803.

It is an arithmetic number, because the mean of its divisors is an integer number (26598572).

Almost surely, 2^1649882880 is an apocalyptic number.

1649882880 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 1649882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872645776).

1649882880 is an abundant number, since it is smaller than the sum of its proper divisors (4095408672).

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

1649882880 is a wasteful number, since it uses less digits than its factorization.

1649882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 1649882880 is about 40618.7503500539. The cubic root of 1649882880 is about 1181.6377908781.

The spelling of 1649882880 in words is "one billion, six hundred forty-nine million, eight hundred eighty-two thousand, eight hundred eighty".