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2988956880 = 24325751319
BaseRepresentation
bin1011001000100111…
…1101110011010000
321201022020202000200
42302021331303100
522110133110010
61212331415200
7134032500000
oct26211756320
97638222020
102988956880
1112a42085a8
126b4bb4500
13388318c50
14204d70000
15127611cc0
hexb227dcd0

2988956880 has 720 divisors, whose sum is σ = 13275400320. Its totient is φ = 597445632.

The previous prime is 2988956849. The next prime is 2988956909. The reversal of 2988956880 is 886598892.

2988956880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157313511 + ... + 157313529.

It is an arithmetic number, because the mean of its divisors is an integer number (18438056).

Almost surely, 22988956880 is an apocalyptic number.

2988956880 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 2988956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6637700160).

2988956880 is an abundant number, since it is smaller than the sum of its proper divisors (10286443440).

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

2988956880 is a wasteful number, since it uses less digits than its factorization.

2988956880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The square root of 2988956880 is about 54671.3533763341. The cubic root of 2988956880 is about 1440.4777350074.

The spelling of 2988956880 in words is "two billion, nine hundred eighty-eight million, nine hundred fifty-six thousand, eight hundred eighty".