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2488866240 = 2635719101193
BaseRepresentation
bin1001010001011001…
…0001010111000000
320102110020111122010
42110112101113000
520044122204430
61050545012520
7115451004540
oct22426212700
96373214563
102488866240
11106799a053
12595624140
13308831823
14198793320
15e877bcb0
hex945915c0

2488866240 has 448 divisors, whose sum is σ = 9650211840. Its totient is φ = 530841600.

The previous prime is 2488866239. The next prime is 2488866253. The reversal of 2488866240 is 426688842.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×24888662402 = 12388910321223475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2488866240.

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, 12895584 + ... + 12895776.

Almost surely, 22488866240 is an apocalyptic number.

2488866240 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 2488866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825105920).

2488866240 is an abundant number, since it is smaller than the sum of its proper divisors (7161345600).

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

2488866240 is a wasteful number, since it uses less digits than its factorization.

2488866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 2488866240 is about 49888.5381625880. The cubic root of 2488866240 is about 1355.1910316487.

The spelling of 2488866240 in words is "two billion, four hundred eighty-eight million, eight hundred sixty-six thousand, two hundred forty".