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2655045120 = 293571329131
BaseRepresentation
bin1001111001000000…
…1100011000000000
320212000221021012110
42132100030120000
520414142420440
61115242455320
7122536340220
oct23620143000
96760837173
102655045120
111142781772
12621204540
133340a6820
141b2890080
15108155080
hex9e40c600

2655045120 has 640 divisors, whose sum is σ = 10889303040. Its totient is φ = 536739840.

The previous prime is 2655045101. The next prime is 2655045121. The reversal of 2655045120 is 215405562.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2655045121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20267455 + ... + 20267585.

It is an arithmetic number, because the mean of its divisors is an integer number (17014536).

Almost surely, 22655045120 is an apocalyptic number.

2655045120 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 2655045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444651520).

2655045120 is an abundant number, since it is smaller than the sum of its proper divisors (8234257920).

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

2655045120 is a wasteful number, since it uses less digits than its factorization.

2655045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 2655045120 is about 51527.1299414202. The cubic root of 2655045120 is about 1384.7051325682.

The spelling of 2655045120 in words is "two billion, six hundred fifty-five million, forty-five thousand, one hundred twenty".