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2690198784 = 28337213247
BaseRepresentation
bin1010000001011001…
…0010110100000000
320221111002020222000
42200112102310000
521002142330114
61122540144000
7123444212100
oct24026226400
96844066860
102690198784
111160602189
12630b38000
1333b464500
141b7401200
1510b29ae09
hexa0592d00

2690198784 has 648 divisors, whose sum is σ = 10234062720. Its totient is φ = 694407168.

The previous prime is 2690198767. The next prime is 2690198801. The reversal of 2690198784 is 4878910962.

It is an interprime number because it is at equal distance from previous prime (2690198767) and next prime (2690198801).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2690198784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57238249 + ... + 57238295.

Almost surely, 22690198784 is an apocalyptic number.

2690198784 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 2690198784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117031360).

2690198784 is an abundant number, since it is smaller than the sum of its proper divisors (7543863936).

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

2690198784 is a wasteful number, since it uses less digits than its factorization.

2690198784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 2690198784 is about 51867.1262361816. The cubic root of 2690198784 is about 1390.7896732679.

The spelling of 2690198784 in words is "two billion, six hundred ninety million, one hundred ninety-eight thousand, seven hundred eighty-four".