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2034480000 = 2735472173
BaseRepresentation
bin111100101000011…
…1011001110000000
312020210020021220010
41321100323032000
513131311330000
6533513544520
7101262536400
oct17120731600
95223207803
102034480000
11954457a33
12489415140
1326565a527
141542b2800
15bd923d50
hex7943b380

2034480000 has 480 divisors, whose sum is σ = 7900877160. Its totient is φ = 462336000.

The previous prime is 2034479963. The next prime is 2034480031. The reversal of 2034480000 is 844302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11759914 + ... + 11760086.

Almost surely, 22034480000 is an apocalyptic number.

2034480000 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 2034480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950438580).

2034480000 is an abundant number, since it is smaller than the sum of its proper divisors (5866397160).

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

2034480000 is an equidigital number, since it uses as much as digits as its factorization.

2034480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2034480000 is about 45105.2103420436. The cubic root of 2034480000 is about 1267.1201823259.

The spelling of 2034480000 in words is "two billion, thirty-four million, four hundred eighty thousand".