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2061993240 = 23335171923257
BaseRepresentation
bin111101011100111…
…1000010100011000
312022201000002222000
41322321320110120
513210332240430
6540335401000
7102045440046
oct17271702430
95281002860
102061993240
11968a3a04a
12496683160
1326b271658
14157bd5396
15c105ae60
hex7ae78518

2061993240 has 512 divisors, whose sum is σ = 8024832000. Its totient is φ = 467140608.

The previous prime is 2061993229. The next prime is 2061993251. The reversal of 2061993240 is 423991602.

2061993240 is a `hidden beast` number, since 2 + 0 + 619 + 9 + 32 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2061993229) and next prime (2061993251).

It is a super-2 number, since 2×20619932402 = 8503632243611395200, which contains 22 as substring.

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 = 2061993195 and 2061993204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8023192 + ... + 8023448.

It is an arithmetic number, because the mean of its divisors is an integer number (15673500).

Almost surely, 22061993240 is an apocalyptic number.

2061993240 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 2061993240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012416000).

2061993240 is an abundant number, since it is smaller than the sum of its proper divisors (5962838760).

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

2061993240 is a wasteful number, since it uses less digits than its factorization.

2061993240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2061993240 is about 45409.1757247365. The cubic root of 2061993240 is about 1272.8065817059.

The spelling of 2061993240 in words is "two billion, sixty-one million, nine hundred ninety-three thousand, two hundred forty".