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2180372040 = 23335711157167
BaseRepresentation
bin1000000111110101…
…1101011001001000
312121221202101011000
42001331131121020
513431133401130
61000204535000
7105013566540
oct20175353110
95557671130
102180372040
11a19843870
1250a251460
1328994b692
1416980c320
15cb641260
hex81f5d648

2180372040 has 512 divisors, whose sum is σ = 9173606400. Its totient is φ = 447482880.

The previous prime is 2180372039. The next prime is 2180372041. The reversal of 2180372040 is 402730812.

It is an interprime number because it is at equal distance from previous prime (2180372039) and next prime (2180372041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2180371995 and 2180372013.

It is not an unprimeable number, because it can be changed into a prime (2180372041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13056037 + ... + 13056203.

It is an arithmetic number, because the mean of its divisors is an integer number (17917200).

Almost surely, 22180372040 is an apocalyptic number.

2180372040 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 2180372040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586803200).

2180372040 is an abundant number, since it is smaller than the sum of its proper divisors (6993234360).

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

2180372040 is a wasteful number, since it uses less digits than its factorization.

2180372040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2180372040 is about 46694.4540604128. The cubic root of 2180372040 is about 1296.7120144447.

The spelling of 2180372040 in words is "two billion, one hundred eighty million, three hundred seventy-two thousand, forty".