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2105451040 = 255711297183
BaseRepresentation
bin111110101111110…
…1010001000100000
312102201202222212011
41331133222020200
513302443413130
6544531042304
7103114016140
oct17537521040
95381688764
102105451040
11990521590
124a9140394
13277279024
1415d8a8920
15c4c9252a
hex7d7ea220

2105451040 has 384 divisors, whose sum is σ = 6584094720. Its totient is φ = 617164800.

The previous prime is 2105450993. The next prime is 2105451067. The reversal of 2105451040 is 401545012.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25366839 + ... + 25366921.

It is an arithmetic number, because the mean of its divisors is an integer number (17146080).

Almost surely, 22105451040 is an apocalyptic number.

2105451040 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 2105451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292047360).

2105451040 is an abundant number, since it is smaller than the sum of its proper divisors (4478643680).

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

2105451040 is a wasteful number, since it uses less digits than its factorization.

2105451040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 2105451040 is about 45885.1941262103. The cubic root of 2105451040 is about 1281.6862216728.

Adding to 2105451040 its reverse (401545012), we get a palindrome (2506996052).

The spelling of 2105451040 in words is "two billion, one hundred five million, four hundred fifty-one thousand, forty".