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2606298240 = 273572132131
BaseRepresentation
bin1001101101011000…
…1111010010000000
320201122012200001110
42123112033102000
520314203020430
61110342003320
7121405112100
oct23326172200
96648180043
102606298240
111118207497
12608a16540
13326c69910
141aa201200
15103c267b0
hex9b58f480

2606298240 has 384 divisors, whose sum is σ = 10412176320. Its totient is φ = 549642240.

The previous prime is 2606298217. The next prime is 2606298283. The reversal of 2606298240 is 428926062.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1221975 + ... + 1224105.

Almost surely, 22606298240 is an apocalyptic number.

2606298240 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 2606298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5206088160).

2606298240 is an abundant number, since it is smaller than the sum of its proper divisors (7805878080).

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

2606298240 is a wasteful number, since it uses less digits than its factorization.

2606298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2606298240 is about 51051.9171040618. The cubic root of 2606298240 is about 1376.1782940051.

The spelling of 2606298240 in words is "two billion, six hundred six million, two hundred ninety-eight thousand, two hundred forty".