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2490059869830 = 232513217312411289
BaseRepresentation
bin100100001111000011001…
…000100100111010000110
322211001021112221122001100
4210033003020210322012
5311244120311313310
65143530120440530
7344621001445161
oct44170310447206
98731245848040
102490059869830
11880034976375
12342710019146
13150a72227600
148873b896ad8
1544b8b12bec0
hex243c3224e86

2490059869830 has 576 divisors, whose sum is σ = 7700067048960. Its totient is φ = 555525734400.

The previous prime is 2490059869819. The next prime is 2490059869831. The reversal of 2490059869830 is 389689500942.

2490059869830 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 0 + 598 + 6 + 9 + 8 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2490059869831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1931775826 + ... + 1931777114.

It is an arithmetic number, because the mean of its divisors is an integer number (13368171960).

Almost surely, 22490059869830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2490059869830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850033524480).

2490059869830 is an abundant number, since it is smaller than the sum of its proper divisors (5210007179130).

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

2490059869830 is a wasteful number, since it uses less digits than its factorization.

2490059869830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

It can be divided in two parts, 2490059 and 869830, that added together give a square (3359889 = 18332).

The spelling of 2490059869830 in words is "two trillion, four hundred ninety billion, fifty-nine million, eight hundred sixty-nine thousand, eight hundred thirty".