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2129033088 = 273271323883
BaseRepresentation
bin111111011100110…
…0111011110000000
312111101011002100100
41332321213132000
513330013024323
6551132322400
7103521324360
oct17671473600
95441132310
102129033088
119a2869086
124b5013400
1327c1149c0
14162a869a0
15c6d9e943
hex7ee67780

2129033088 has 384 divisors, whose sum is σ = 7877076480. Its totient is φ = 536481792.

The previous prime is 2129033069. The next prime is 2129033143. The reversal of 2129033088 is 8803309212.

It is a happy number.

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 (36).

It is a congruent number.

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, 2410695 + ... + 2411577.

It is an arithmetic number, because the mean of its divisors is an integer number (20513220).

Almost surely, 22129033088 is an apocalyptic number.

2129033088 is a gapful number since it is divisible by the number (28) 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 2129033088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938538240).

2129033088 is an abundant number, since it is smaller than the sum of its proper divisors (5748043392).

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

2129033088 is a wasteful number, since it uses less digits than its factorization.

2129033088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2129033088 is about 46141.4465312911. The cubic root of 2129033088 is about 1286.4536307187.

The spelling of 2129033088 in words is "two billion, one hundred twenty-nine million, thirty-three thousand, eighty-eight".