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2010988980 = 223257111311161
BaseRepresentation
bin111011111011101…
…0100000110110100
312012011000211021100
41313313110012310
513104303121410
6531314250100
7100556060430
oct16767240664
95164024240
102010988980
11942172870
12481586930
13260824110
141511199c0
15bb8338c0
hex77dd41b4

2010988980 has 288 divisors, whose sum is σ = 8190943488. Its totient is φ = 385689600.

The previous prime is 2010988949. The next prime is 2010988997. The reversal of 2010988980 is 898890102.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174600 + ... + 185760.

It is an arithmetic number, because the mean of its divisors is an integer number (28440776).

Almost surely, 22010988980 is an apocalyptic number.

2010988980 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 2010988980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095471744).

2010988980 is an abundant number, since it is smaller than the sum of its proper divisors (6179954508).

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

2010988980 is a wasteful number, since it uses less digits than its factorization.

2010988980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11207 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 2010988980 is about 44844.0517794724. The cubic root of 2010988980 is about 1262.2243776975.

2010988980 divided by its sum of digits (45) gives a palindrome (44688644).

The spelling of 2010988980 in words is "two billion, ten million, nine hundred eighty-eight thousand, nine hundred eighty".