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2742928980 = 22351131791697
BaseRepresentation
bin1010001101111101…
…1100011001010100
321002011022020012020
42203133130121110
521104142211410
61132102253140
7124654340331
oct24337343124
97064266166
102742928980
111188348160
126467271b0
133493674cc
141c0409988
15110c14a70
hexa37dc654

2742928980 has 192 divisors, whose sum is σ = 8763310080. Its totient is φ = 634982400.

The previous prime is 2742928973. The next prime is 2742929017. The reversal of 2742928980 is 898292472.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615492 + ... + 1617188.

It is an arithmetic number, because the mean of its divisors is an integer number (45642240).

Almost surely, 22742928980 is an apocalyptic number.

2742928980 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 2742928980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381655040).

2742928980 is an abundant number, since it is smaller than the sum of its proper divisors (6020381100).

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

2742928980 is a wasteful number, since it uses less digits than its factorization.

2742928980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 2742928980 is about 52372.9794836994. The cubic root of 2742928980 is about 1399.8178300383.

The spelling of 2742928980 in words is "two billion, seven hundred forty-two million, nine hundred twenty-eight thousand, nine hundred eighty".