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2068597440 = 26345713877
BaseRepresentation
bin111101101001100…
…0100101011000000
312100011102122020000
41323103010223000
513214030104230
6541133120000
7102155534220
oct17323045300
95304378200
102068597440
1197173a968
12498929000
1326c744670
14158a34080
15c1912b60
hex7b4c4ac0

2068597440 has 560 divisors, whose sum is σ = 9066775872. Its totient is φ = 435953664.

The previous prime is 2068597439. The next prime is 2068597441. The reversal of 2068597440 is 447958602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2068597439) and next prime (2068597441).

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068597441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358282 + ... + 2359158.

Almost surely, 22068597440 is an apocalyptic number.

2068597440 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 2068597440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533387936).

2068597440 is an abundant number, since it is smaller than the sum of its proper divisors (6998178432).

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

2068597440 is a wasteful number, since it uses less digits than its factorization.

2068597440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2068597440 is about 45481.8363745353. The cubic root of 2068597440 is about 1274.1639917476.

The spelling of 2068597440 in words is "two billion, sixty-eight million, five hundred ninety-seven thousand, four hundred forty".