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2097061920 = 253351929881
BaseRepresentation
bin111110011111110…
…1010000000100000
312102010222210011000
41330333222000200
513243321440140
6544031152000
7102652506102
oct17477520040
95363883130
102097061920
11986811728
124a6375600
132755cc755
1415c723572
15c4186a30
hex7cfea020

2097061920 has 384 divisors, whose sum is σ = 8001504000. Its totient is φ = 510935040.

The previous prime is 2097061907. The next prime is 2097061931. The reversal of 2097061920 is 291607902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2379880 + ... + 2380760.

It is an arithmetic number, because the mean of its divisors is an integer number (20837250).

Almost surely, 22097061920 is an apocalyptic number.

2097061920 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 2097061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000752000).

2097061920 is an abundant number, since it is smaller than the sum of its proper divisors (5904442080).

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

2097061920 is a wasteful number, since it uses less digits than its factorization.

2097061920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2097061920 is about 45793.6886481096. The cubic root of 2097061920 is about 1279.9816729147.

The spelling of 2097061920 in words is "two billion, ninety-seven million, sixty-one thousand, nine hundred twenty".