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2941297920 = 28345112579
BaseRepresentation
bin1010111101010000…
…1010010100000000
321120222120102020000
42233110022110000
522010433013140
61203510120000
7132613422411
oct25724122400
97528512200
102941297920
11127a316730
126a1050000
1337b4a0292
141dc8c5808
1512334aa30
hexaf50a500

2941297920 has 360 divisors, whose sum is σ = 11485726560. Its totient is φ = 712765440.

The previous prime is 2941297903. The next prime is 2941297921. The reversal of 2941297920 is 297921492.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2941297921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139191 + ... + 1141769.

It is an arithmetic number, because the mean of its divisors is an integer number (31904796).

Almost surely, 22941297920 is an apocalyptic number.

2941297920 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 2941297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742863280).

2941297920 is an abundant number, since it is smaller than the sum of its proper divisors (8544428640).

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

2941297920 is a wasteful number, since it uses less digits than its factorization.

2941297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2941297920 is about 54233.7341513564. The cubic root of 2941297920 is about 1432.7805322136.

The spelling of 2941297920 in words is "two billion, nine hundred forty-one million, two hundred ninety-seven thousand, nine hundred twenty".