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2054498688 = 2733112173
BaseRepresentation
bin111101001110101…
…0010100110000000
312022011220100101000
41322131102212000
513201422424223
6535511012000
7101624644044
oct17235224600
95264810330
102054498688
11964790300
1249406a000
132698492c8
14156c04024
15c057a543
hex7a752980

2054498688 has 384 divisors, whose sum is σ = 7081452000. Its totient is φ = 585953280.

The previous prime is 2054498683. The next prime is 2054498689. The reversal of 2054498688 is 8868944502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2054498688 is a `hidden beast` number, since 2 + 0 + 544 + 98 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054498683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120852856 + ... + 120852872.

Almost surely, 22054498688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054498688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540726000).

2054498688 is an abundant number, since it is smaller than the sum of its proper divisors (5026953312).

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

2054498688 is an equidigital number, since it uses as much as digits as its factorization.

2054498688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The square root of 2054498688 is about 45326.5781633690. The cubic root of 2054498688 is about 1271.2626556114.

The spelling of 2054498688 in words is "two billion, fifty-four million, four hundred ninety-eight thousand, six hundred eighty-eight".