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2466423960 = 23357111320533
BaseRepresentation
bin1001001100000010…
…1010010010011000
320100220000022121120
42103000222102120
520022401031320
61044424005240
7115056154260
oct22300522230
96326008546
102466423960
111056260910
1258a000820
13303ca4880
141957d07a0
15e67e7440
hex9302a498

2466423960 has 256 divisors, whose sum is σ = 9935170560. Its totient is φ = 473057280.

The previous prime is 2466423941. The next prime is 2466423977. The reversal of 2466423960 is 693246642.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 109854 + ... + 130386.

It is an arithmetic number, because the mean of its divisors is an integer number (38809260).

Almost surely, 22466423960 is an apocalyptic number.

2466423960 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 2466423960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967585280).

2466423960 is an abundant number, since it is smaller than the sum of its proper divisors (7468746600).

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

2466423960 is a wasteful number, since it uses less digits than its factorization.

2466423960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20578 (or 20574 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 2466423960 is about 49663.1046149956. The cubic root of 2466423960 is about 1351.1054429871.

It can be divided in two parts, 2466 and 423960, that added together give a triangular number (426426 = T923).

The spelling of 2466423960 in words is "two billion, four hundred sixty-six million, four hundred twenty-three thousand, nine hundred sixty".