2169398560 has 288 divisors, whose sum is σ = 6482932848. Its totient is φ = 681246720.

The previous prime is 2169398537. The next prime is 2169398573. The reversal of 2169398560 is 658939612.

It can be written as a sum of positive squares in 8 ways, for example, as 830131344 + 1339267216 = 28812^2 + 36596^2 .

It is a super-2 number, since 2×2169398560² = 9412580224260147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 47 ways as a sum of consecutive naturals, for example, 5464282 + ... + 5464678.

Almost surely, 2^2169398560 is an apocalyptic number.

2169398560 is a gapful number since it is divisible by the number (20) 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 2169398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241466424).

2169398560 is an abundant number, since it is smaller than the sum of its proper divisors (4313534288).

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

2169398560 is a wasteful number, since it uses less digits than its factorization.

2169398560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 49.

The square root of 2169398560 is about 46576.8028099826. The cubic root of 2169398560 is about 1294.5329701342.

The spelling of 2169398560 in words is "two billion, one hundred sixty-nine million, three hundred ninety-eight thousand, five hundred sixty".