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2104410000 = 24354711911
BaseRepresentation
bin111110101101110…
…1011111110010000
312102122211002211010
41331123223332100
513302212110000
6544452450520
7103102122060
oct17533537620
95378732733
102104410000
1198a980420
124a8919a40
13276ca3224
1415d6b73a0
15c4b38d50
hex7d6ebf90

2104410000 has 400 divisors, whose sum is σ = 8478885888. Its totient is φ = 436800000.

The previous prime is 2104409987. The next prime is 2104410013. The reversal of 2104410000 is 144012.

It is an interprime number because it is at equal distance from previous prime (2104409987) and next prime (2104410013).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2309545 + ... + 2310455.

Almost surely, 22104410000 is an apocalyptic number.

2104410000 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 2104410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239442944).

2104410000 is an abundant number, since it is smaller than the sum of its proper divisors (6374475888).

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

2104410000 is a wasteful number, since it uses less digits than its factorization.

2104410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2104410000 is about 45873.8487593967. The cubic root of 2104410000 is about 1281.4749436502.

Adding to 2104410000 its reverse (144012), we get a palindrome (2104554012).

The spelling of 2104410000 in words is "two billion, one hundred four million, four hundred ten thousand".