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2488674240 = 263351322157
BaseRepresentation
bin1001010001010110…
…0010011111000000
320102102212202021000
42110111202133000
520044100033430
61050540532000
7115446245013
oct22425423700
96372782230
102488674240
111067878878
12595551000
13308795310
1419874337a
15e873ee60
hex945627c0

2488674240 has 224 divisors, whose sum is σ = 9455261760. Its totient is φ = 612569088.

The previous prime is 2488674229. The next prime is 2488674259. The reversal of 2488674240 is 424768842.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101242 + ... + 123398.

It is an arithmetic number, because the mean of its divisors is an integer number (42210990).

Almost surely, 22488674240 is an apocalyptic number.

2488674240 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 2488674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727630880).

2488674240 is an abundant number, since it is smaller than the sum of its proper divisors (6966587520).

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

2488674240 is a wasteful number, since it uses less digits than its factorization.

2488674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22196 (or 22180 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 2488674240 is about 49886.6138357776. The cubic root of 2488674240 is about 1355.1561826661.

The spelling of 2488674240 in words is "two billion, four hundred eighty-eight million, six hundred seventy-four thousand, two hundred forty".