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2900668680 = 2332573132139
BaseRepresentation
bin1010110011100100…
…1011000100001000
321111011010020101100
42230321023010020
521420032344210
61155455221400
7131611164000
oct25471130410
97434106340
102900668680
111259396348
1268b517860
13372c46200
141d734b000
1511e9c25c0
hexace4b108

2900668680 has 576 divisors, whose sum is σ = 11990160000. Its totient is φ = 607606272.

The previous prime is 2900668669. The next prime is 2900668717. The reversal of 2900668680 is 868660092.

It is a super-2 number, since 2×29006686802 = 16827757582265884800, which contains 22 as substring.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20868051 + ... + 20868189.

It is an arithmetic number, because the mean of its divisors is an integer number (20816250).

Almost surely, 22900668680 is an apocalyptic number.

2900668680 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 2900668680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995080000).

2900668680 is an abundant number, since it is smaller than the sum of its proper divisors (9089491320).

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

2900668680 is a wasteful number, since it uses less digits than its factorization.

2900668680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 2900668680 is about 53857.8562514328. The cubic root of 2900668680 is about 1426.1527440677.

The spelling of 2900668680 in words is "two billion, nine hundred million, six hundred sixty-eight thousand, six hundred eighty".