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2468954880 = 283257171801
BaseRepresentation
bin1001001100101001…
…0100001100000000
320101001202220101100
42103022110030000
520024023024010
61044554134400
7115116525120
oct22312241400
96331686340
102468954880
11105772a387
1258aa21400
1330467c862
14195c8cc80
15e6b472c0
hex93294300

2468954880 has 432 divisors, whose sum is σ = 10342672704. Its totient is φ = 530841600.

The previous prime is 2468954869. The next prime is 2468954893. The reversal of 2468954880 is 884598642.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1369980 + ... + 1371780.

It is an arithmetic number, because the mean of its divisors is an integer number (23941372).

Almost surely, 22468954880 is an apocalyptic number.

2468954880 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 2468954880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171336352).

2468954880 is an abundant number, since it is smaller than the sum of its proper divisors (7873717824).

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

2468954880 is a wasteful number, since it uses less digits than its factorization.

2468954880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1852 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2468954880 is about 49688.5789694171. The cubic root of 2468954880 is about 1351.5674304443.

The spelling of 2468954880 in words is "two billion, four hundred sixty-eight million, nine hundred fifty-four thousand, eight hundred eighty".