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2988410880 = 211357131069
BaseRepresentation
bin1011001000011111…
…1000100000000000
321201021020000001110
42302013320200000
522110013122010
61212312003320
7134025034110
oct26207704000
97637200043
102988410880
1112a3975364
126b4990540
13388187580
14204c6b040
15127555120
hexb21f8800

2988410880 has 384 divisors, whose sum is σ = 11777875200. Its totient is φ = 629932032.

The previous prime is 2988410869. The next prime is 2988410891. The reversal of 2988410880 is 880148892.

It is an interprime number because it is at equal distance from previous prime (2988410869) and next prime (2988410891).

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 (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2794986 + ... + 2796054.

It is an arithmetic number, because the mean of its divisors is an integer number (30671550).

Almost surely, 22988410880 is an apocalyptic number.

2988410880 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 2988410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888937600).

2988410880 is an abundant number, since it is smaller than the sum of its proper divisors (8789464320).

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

2988410880 is a wasteful number, since it uses less digits than its factorization.

2988410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The square root of 2988410880 is about 54666.3596739348. The cubic root of 2988410880 is about 1440.3900178126.

The spelling of 2988410880 in words is "two billion, nine hundred eighty-eight million, four hundred ten thousand, eight hundred eighty".