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2097347904 = 2634312421
BaseRepresentation
bin111110100000010…
…1111110101000000
312102011112022110000
41331000233311000
513243410113104
6544041240000
7102655106631
oct17500576500
95364468400
102097347904
11986997583
124a6493000
1327569c982
1415c799888
15c41e1639
hex7d02fd40

2097347904 has 210 divisors, whose sum is σ = 6439479882. Its totient is φ = 674956800.

The previous prime is 2097347891. The next prime is 2097347909. The reversal of 2097347904 is 4097437902.

It can be written as a sum of positive squares in only one way, i.e., 1120910400 + 976437504 = 33480^2 + 31248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2097347904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097347909) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4981614 + ... + 4982034.

Almost surely, 22097347904 is an apocalyptic number.

2097347904 is a gapful number since it is divisible by the number (24) 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 2097347904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219739941).

2097347904 is an abundant number, since it is smaller than the sum of its proper divisors (4342131978).

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

2097347904 is an equidigital number, since it uses as much as digits as its factorization.

2097347904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2097347904 is about 45796.8110680209. The cubic root of 2097347904 is about 1280.0398555298.

The spelling of 2097347904 in words is "two billion, ninety-seven million, three hundred forty-seven thousand, nine hundred four".