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2488631040 = 283757127
BaseRepresentation
bin1001010001010101…
…0111111100000000
320102102210120000000
42110111113330000
520044042143130
61050540000000
7115446005040
oct22425277400
96372716000
102488631040
111067849375
12595530000
1330877b75c
14198731720
15e8732260
hex94557f00

2488631040 has 576 divisors, whose sum is σ = 10297835520. Its totient is φ = 564350976.

The previous prime is 2488631029. The next prime is 2488631069. The reversal of 2488631040 is 401368842.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2488630986 and 2488631004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19595457 + ... + 19595583.

Almost surely, 22488631040 is an apocalyptic number.

2488631040 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 2488631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148917760).

2488631040 is an abundant number, since it is smaller than the sum of its proper divisors (7809204480).

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

2488631040 is an frugal number, since it uses more digits than its factorization.

2488631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2488631040 is about 49886.1808520155. The cubic root of 2488631040 is about 1355.1483413980.

Adding to 2488631040 its reverse (401368842), we get a palindrome (2889999882).

The spelling of 2488631040 in words is "two billion, four hundred eighty-eight million, six hundred thirty-one thousand, forty".