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2070749408 = 2572132931113
BaseRepresentation
bin111101101101101…
…0010000011100000
312100022110222011112
41323123102003200
513220102440113
6541251202452
7102213036200
oct17333220340
95308428145
102070749408
1197297a752
124995a6428
13270019010
14159034400
15c1bda5a8
hex7b6d20e0

2070749408 has 288 divisors, whose sum is σ = 5501986560. Its totient is φ = 758661120.

The previous prime is 2070749393. The next prime is 2070749419. The reversal of 2070749408 is 8049470702.

It is a super-2 number, since 2×20707494082 = 8576006221464700928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18325160 + ... + 18325272.

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

Almost surely, 22070749408 is an apocalyptic number.

2070749408 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 2070749408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750993280).

2070749408 is an abundant number, since it is smaller than the sum of its proper divisors (3431237152).

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

2070749408 is a wasteful number, since it uses less digits than its factorization.

2070749408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 2070749408 is about 45505.4876690713. The cubic root of 2070749408 is about 1274.6056774699.

The spelling of 2070749408 in words is "two billion, seventy million, seven hundred forty-nine thousand, four hundred eight".