2198075040 has 576 divisors, whose sum is σ = 9434880000. Its totient is φ = 454367232.

The previous prime is 2198075029. The next prime is 2198075051. The reversal of 2198075040 is 405708912.

It is an interprime number because it is at equal distance from previous prime (2198075029) and next prime (2198075051).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2198074986 and 2198075004.

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 95 ways as a sum of consecutive naturals, for example, 4404711 + ... + 4405209.

It is an arithmetic number, because the mean of its divisors is an integer number (16380000).

Almost surely, 2^2198075040 is an apocalyptic number.

2198075040 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 2198075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440000).

2198075040 is an abundant number, since it is smaller than the sum of its proper divisors (7236804960).

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

2198075040 is a wasteful number, since it uses less digits than its factorization.

2198075040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2198075040 is about 46883.6329650338. The cubic root of 2198075040 is about 1300.2120048720.

It can be divided in two parts, 21980 and 75040, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 2198075040 in words is "two billion, one hundred ninety-eight million, seventy-five thousand, forty".