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2081028480 = 273517103619
BaseRepresentation
bin111110000001001…
…1111100110000000
312101000211012101220
41330002133212000
513230220402410
6542255355040
7102366310266
oct17402374600
95330735356
102081028480
11978760553
124a0b22a80
132721a78cb
1415a54c436
15c2a6b070
hex7c09f980

2081028480 has 256 divisors, whose sum is σ = 7103116800. Its totient is φ = 516390912.

The previous prime is 2081028479. The next prime is 2081028503. The reversal of 2081028480 is 848201802.

It is a super-2 number, since 2×20810284802 = 8661359069142220800, 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 31 ways as a sum of consecutive naturals, for example, 3361611 + ... + 3362229.

It is an arithmetic number, because the mean of its divisors is an integer number (27746550).

Almost surely, 22081028480 is an apocalyptic number.

2081028480 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 2081028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551558400).

2081028480 is an abundant number, since it is smaller than the sum of its proper divisors (5022088320).

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

2081028480 is a wasteful number, since it uses less digits than its factorization.

2081028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 2081028480 is about 45618.2910683862. The cubic root of 2081028480 is about 1276.7112186307.

The spelling of 2081028480 in words is "two billion, eighty-one million, twenty-eight thousand, four hundred eighty".