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2468463906240 = 26355197921149
BaseRepresentation
bin100011111010111011111…
…010100000110111000000
322201222112111100000100000
4203322323322200313000
5310420403224444430
65125555140200000
7343224560002203
oct43727372406700
98658474300300
102468463906240
11871962582282
1233a4a3699000
1314ba0cccb227
148768d64b93a
154432520ce60
hex23ebbea0dc0

2468463906240 has 672 divisors, whose sum is σ = 9386133120000. Its totient is φ = 615688998912.

The previous prime is 2468463906239. The next prime is 2468463906269. The reversal of 2468463906240 is 426093648642.

2468463906240 is a `hidden beast` number, since 2 + 4 + 6 + 8 + 4 + 6 + 3 + 9 + 0 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116707186 + ... + 116728334.

It is an arithmetic number, because the mean of its divisors is an integer number (13967460000).

Almost surely, 22468463906240 is an apocalyptic number.

2468463906240 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 2468463906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693066560000).

2468463906240 is an abundant number, since it is smaller than the sum of its proper divisors (6917669213760).

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

2468463906240 is a wasteful number, since it uses less digits than its factorization.

2468463906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21279 (or 21257 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 2468463906240 in words is "two trillion, four hundred sixty-eight billion, four hundred sixty-three million, nine hundred six thousand, two hundred forty".