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2120383659240 = 2336571119232161
BaseRepresentation
bin11110110110110000101…
…101101111110011101000
321111201002011221101000000
4132312300231233303220
5234220021204043430
64302031340343000
7306123040503360
oct36666055576350
97451064841000
102120383659240
1174828232a860
122a2b40244a60
13124c4a08b332
14748acb459a0
153a2519b9e60
hex1edb0b6fce8

2120383659240 has 1792 divisors, whose sum is σ = 9800107315200. Its totient is φ = 399076761600.

The previous prime is 2120383659151. The next prime is 2120383659319. The reversal of 2120383659240 is 429563830212.

2120383659240 is a `hidden beast` number, since 2 + 1 + 20 + 3 + 8 + 36 + 592 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 981203760 + ... + 981205920.

Almost surely, 22120383659240 is an apocalyptic number.

2120383659240 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 2120383659240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900053657600).

2120383659240 is an abundant number, since it is smaller than the sum of its proper divisors (7679723655960).

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

2120383659240 is a wasteful number, since it uses less digits than its factorization.

2120383659240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2120383659240 in words is "two trillion, one hundred twenty billion, three hundred eighty-three million, six hundred fifty-nine thousand, two hundred forty".