2190078540 has 192 divisors, whose sum is σ = 7375872000. Its totient is φ = 536295168.

The previous prime is 2190078511. The next prime is 2190078557. The reversal of 2190078540 is 458700912.

2190078540 is a `hidden beast` number, since 21 + 90 + 0 + 7 + 8 + 540 = 666.

It is a super-2 number, since 2×2190078540² = 9592888022737063200, which contains 22 as substring.

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 = 2190078495 and 2190078504.

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 63 ways as a sum of consecutive naturals, for example, 1564761 + ... + 1566159.

It is an arithmetic number, because the mean of its divisors is an integer number (38416000).

Almost surely, 2^2190078540 is an apocalyptic number.

2190078540 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 2190078540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687936000).

2190078540 is an abundant number, since it is smaller than the sum of its proper divisors (5185793460).

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

2190078540 is a wasteful number, since it uses less digits than its factorization.

2190078540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1645 counting only the distinct ones).

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

The square root of 2190078540 is about 46798.2749682080. The cubic root of 2190078540 is about 1298.6333843714.

The spelling of 2190078540 in words is "two billion, one hundred ninety million, seventy-eight thousand, five hundred forty".