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2990318688 = 253372233783
BaseRepresentation
bin1011001000111100…
…1010010001100000
321201101210221002000
42302033022101200
522111010144223
61212420524000
7134050201200
oct26217122140
97641727060
102990318688
1112a4a58765
126b5550600
133886a4a56
14205206400
151277d0543
hexb23ca460

2990318688 has 576 divisors, whose sum is σ = 11003973120. Its totient is φ = 785562624.

The previous prime is 2990318663. The next prime is 2990318707. The reversal of 2990318688 is 8868130992.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36027895 + ... + 36027977.

It is an arithmetic number, because the mean of its divisors is an integer number (19104120).

Almost surely, 22990318688 is an apocalyptic number.

2990318688 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 2990318688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501986560).

2990318688 is an abundant number, since it is smaller than the sum of its proper divisors (8013654432).

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

2990318688 is a wasteful number, since it uses less digits than its factorization.

2990318688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 2990318688 is about 54683.8064512704. The cubic root of 2990318688 is about 1440.6964686481.

The spelling of 2990318688 in words is "two billion, nine hundred ninety million, three hundred eighteen thousand, six hundred eighty-eight".