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2468440 = 2351347101
BaseRepresentation
bin1001011010101001011000
311122102001201
421122221120
51112442230
6124523544
726660422
oct11325130
94572051
102468440
111436637
129b05b4
13685720
14483812
1533b5ca
hex25aa58

2468440 has 64 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 883200.

The previous prime is 2468419. The next prime is 2468443. The reversal of 2468440 is 448642.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2468399 and 2468408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24390 + ... + 24490.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

22468440 is an apocalyptic number.

2468440 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 2468440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2468440 is an abundant number, since it is smaller than the sum of its proper divisors (3700520).

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

2468440 is a wasteful number, since it uses less digits than its factorization.

2468440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 2468440 is about 1571.1269840468. The cubic root of 2468440 is about 135.1473471198.

The spelling of 2468440 in words is "two million, four hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 101 104 130 188 202 235 260 376 404 470 505 520 611 808 940 1010 1222 1313 1880 2020 2444 2626 3055 4040 4747 4888 5252 6110 6565 9494 10504 12220 13130 18988 23735 24440 26260 37976 47470 52520 61711 94940 123422 189880 246844 308555 493688 617110 1234220 2468440