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2052055410240 = 263511709274081
BaseRepresentation
bin11101110111001000000…
…010001010011001000000
321021011201021021200101010
4131313020002022121000
5232110102141111430
64210411245040520
7301153563122343
oct35671002123100
97234637250333
102052055410240
117212a9866a90
12291851256140
1311b67b0ac274
147146a18045a
15385a302ccb0
hex1ddc808a640

2052055410240 has 224 divisors, whose sum is σ = 7117624494720. Its totient is φ = 496764518400.

The previous prime is 2052055410239. The next prime is 2052055410259. The reversal of 2052055410240 is 420145502502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2052055410198 and 2052055410207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7350000 + ... + 7624080.

Almost surely, 22052055410240 is an apocalyptic number.

2052055410240 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 2052055410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558812247360).

2052055410240 is an abundant number, since it is smaller than the sum of its proper divisors (5065569084480).

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

2052055410240 is a wasteful number, since it uses less digits than its factorization.

2052055410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274821 (or 274811 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 2052055410240 in words is "two trillion, fifty-two billion, fifty-five million, four hundred ten thousand, two hundred forty".