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2135902080 = 273513831031
BaseRepresentation
bin111111101001111…
…0100011110000000
312111212002001211110
41333103310132000
513333242331310
6551535443320
7103633603524
oct17723643600
95455061743
102135902080
119a672a934
124b7386540
1328067b3b0
14163953d84
15c77a9d20
hex7f4f4780

2135902080 has 256 divisors, whose sum is σ = 7427427840. Its totient is φ = 518922240.

The previous prime is 2135902057. The next prime is 2135902091. The reversal of 2135902080 is 802095312.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2071165 + ... + 2072195.

It is an arithmetic number, because the mean of its divisors is an integer number (29013390).

Almost surely, 22135902080 is an apocalyptic number.

2135902080 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 2135902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713713920).

2135902080 is an abundant number, since it is smaller than the sum of its proper divisors (5291525760).

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

2135902080 is a wasteful number, since it uses less digits than its factorization.

2135902080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2135902080 is about 46215.8206678189. The cubic root of 2135902080 is about 1287.8356592398.

Adding to 2135902080 its reverse (802095312), we get a palindrome (2937997392).

The spelling of 2135902080 in words is "two billion, one hundred thirty-five million, nine hundred two thousand, eighty".